1) Problem #PRAF36B "PRAF36B - 172857 - The cumulative nu..." |
A)
The cumulative number of cancer cases reported for Santa Clara Countyis broken down by ethnicity as follows. Find the degrees of freedom.
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Algebraic Expression:
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B)
The percentage of each ethnic group in Santa Clara County is as follows:
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Algebraic Expression:
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C)
Find the P-value. |
Multiple Choice:
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2) Problem #PRAF36C "PRAF36C - 172858 - In a volunteer gr..." |
A)
In a volunteer group, adults who attend a community college, four year college, or are nonstudents spend time with senior citizen for one to nine hours at a time. The following table is a sample of the adult volunteers and the number of hours they volunteer per week. Type of Volunteer 1-3 Hours 4-6 Hours 7-9 Hours Row Total Community College Students 111 96 48 255 Four Year College Students 96 133 61 290 Nonstudents 91 150 53 294 Column Total 298 379 162 839 Find the degrees of freedom. |
Algebraic Expression:
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B)
Using the data from the previous problem: Type of Volunteer 1-3 Hours 4-6 Hours 7-9 Hours Row Total Community College Students 111 96 48 255 Four Year College Students 96 133 61 290 Nonstudents 91 150 53 294 Column Total 298 379 162 839 Find the chi-square test statistic. |
Algebraic Expression:
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C)
Find the P-value using the chart. Round to the nearest thousandth. |
Multiple Choice:
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3) Problem #PRAF36D "PRAF36D - 172859 - It is believed th..." |
It is believed that there are the same amount of Skittles for every color in a bag. One statistics student decides to count the number of Skittles in his bag. Here are the number of Skittles he counted for each color: Purple: 10 Yellow: 8 Green: 12 Orange: 11 Red: 9 Find X2. |
Algebraic Expression:
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4) Problem #PRAF36F "PRAF36F - 172861 - A student surveye..." |
A student surveyed high school students to see which board game was their favorite when they were kids. Here are the results of the survey: 10th Graders 11th Graders 12th Graders Totals Candy Land 25 10 45 75 Monopoly 14 30 13 58 Battleship 11 20 12 47 Totals 50 60 70 180 Find x2.
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Algebraic Expression:
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Hints: |
Multiply the row total x the column total and divide that by the table total. |
5) Problem #PRAF36J "PRAF36J - 172864 - A college claims ..." |
A)
A college claims that college graduates consist of 10% doctorate degrees, 60% bachelor degrees, and 30% master degrees, out of a class of 100 students. Out of a class of graduates, 45 were bachelor graduates, 5 were doctorate graduates, and 50 were masters graduates. What is the chi squared statistic using .05 significance level? Round to the tenths. |
Algebraic Expression:
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B)
Find P value. |
Multiple Choice:
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6) Problem #PRAF36N "PRAF36N - 172867 - Men and women wer..." |
A)
Men and women were randomly sampled about which drink they liked best: alcohol, water, or soda. Out of men 50 liked alcohol, 30 liked water, 20 liked soda. Out of women, 50 liked alcohol, 80 liked water, and 70 liked soda. Find the Chi Squared test statistic. Round to the 10th place. |
Algebraic Expression:
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B)
Find the probability. |
Multiple Choice:
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7) Problem #PRAF36P "PRAF36P - Test of Good Fitness" |
A)
Let's suppose that you are at the casino of Simoneau. Mr. Simoneau, the head of the casino (who came up with such an original name for his casino), has been accused of using tampered dies to prevent people from rolling 'snake eyes' or just rolling ones in general. You are rolling a supposedly fair die and observe 13 ones, 22 twos, 17 threes, 25 fours, 19 fives, and 24 sixes. Calculate the chi-square statistic assuming that the probability of rolling each number is fair. Round to the 10ths place. |
Algebraic Expression:
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B)
Go to the table and find the p-values. |
Multiple Choice:
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C)
Is Mr. Simoneau a crook? |
Multiple Choice:
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8) Problem #PRAF36Q "PRAF36Q - Homogoneity" |
A)
You hold a poll about ice cream flavors. You survey 100 boys and 100 girls about vanilla vs. chocolate. You expect there to be an even distribution between all types of flavors and genders, but you observe that 63 boys like chocolate and 44 girls like chocolate. Find the chi-test statistic for this data set to determine if p-value later on. Round to 2 decimal places! |
Algebraic Expression:
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B)
What is the corresponding p-value? |
Multiple Choice:
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9) Problem #PRAF37G "PRAF37G - 172893 - The expected scor..." |
A)
The expected scores for an ap exam are given: 5- .25 4- .20 3- .35 2- .1 1- .1 The test scores of 500 random sample students taking the exam this year are 5- 60 4- 140 3- 200 2- 90 1- 10 What is the chi-square test statistic? (round to the 10th place) |
Algebraic Expression:
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B)
What is the p-value? |
Multiple Choice:
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10) Problem #PRAF37Q "PRAF37Q - 172900 - Billybob wants to..." |
A)
Billybob wants to test if changes in temperature affects seed sprouting. The data is given: Sprout No sprout Hot 15 15 Warm 20 10 Cold 5 25 What is the Chi square test value? (round to the 10th place) |
Algebraic Expression:
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B)
What is the P-value? |
Multiple Choice:
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11) Problem #PRAF365 "PRAF365 - 172882 - Chi-squared goodn..." |
Chi-squared goodness of fit In the table below are fruits that a certain country produced last year.
This year, amongst a random sample of 500 fruits, they have produced,
What is the probability of observing a result as extreme as the one observed? |
Multiple Choice:
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12) Problem #PRAF37N "PRAF37N - 172898 - Chi-squared Test ..." |
Chi-squared Test for Homogoneity Suppose that you want to know whether the distribution of income classes are the same for woman and men. Taking an random sample of 500 males and 450 females, you determine the income level of each indiviudal.
What is the probability? |
Multiple Choice:
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13) Problem #PRAF37P "PRAF37P - 172899 - One study indicat..." |
A)
One study indicates that the number of televisions that American families have is as follows: Number of Cars Percent 0 10 1 16 2 55 3 11 3+ 8 A random sample of 600 families in the western United States resulted in the following data: Number of Cars Frequency 0 66 1 119 2 340 3 60 3+ 15 At the 1% significance level, does it appear that the distribution "number of cars" of western United States families is different from the distribution for the American population as a whole? What is the chi-square test statistic? Round to the nearest tenth. |
Algebraic Expression:
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B)
Referring to the same problem, what is the p-value? |
Multiple Choice:
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14) Problem #PRAF36S "PRAF36S - 172871 - A commercial agen..." |
A)
A commercial agency wants to determine if there are any differences with the viewer recalling 3 kinds of commercials. One commercial is funny, another is technical and the last is a comparison of competing brands. Type of Commercials |
Viewer Recall Funny Technical | Comparison | Rememebered | 25 | 10 | 7 | 73 | 93 | 108 |
Algebraic Expression:
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B)
Referring to the same problem, what is the p-value? |
Multiple Choice:
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15) Problem #PRAF37R "PRAF37R - 172901 - A five-faced die ..." |
A)
A five-faced die is tossed 100 times. 1 2 3 4 5 20 15 36 17 22 What is chi-square? Round to the tenth place. |
Algebraic Expression:
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Hints: |
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B)
What is the p-value? |
Multiple Choice:
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16) Problem #PRAF37X "PRAF37X - 172907 - For a certain dis..." |
A)
For a certain disease, subjects were randomly assigned to each treatment. Here are the counts of patients who recovered during the study: Recovered No recovery Treatment 1 86 14 Treatment 2 59 41 Total 145 55 Suppose we expect 3/4 of the 100 subjects to recover. What is chi-square? Round to the nearest tenth. |
Algebraic Expression:
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Hints: |
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B)
What is the p-value? |
Multiple Choice:
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17) Problem #PRAF38Q "PRAF38Q - 172931 - Lucky Charms &tra..." |
A)
Lucky Charms ™ cereal comes with 5 types of marshmallow treats: pink hearts, blue moons, orange stars, green clovers, and purple horseshoes. A curious student methodically sorted an entire box of the cereal and found the following distribution of marshmallows in the box: Marshmallows: Hearts, Moons, Stars, Clevers, Horseshoes Frequency: 530, 470, 420, 610, 585 Test the null hypothesis that the flavors are uniformly distributed versus the alternative that they are not. |
Algebraic Expression:
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B) |
Multiple Choice:
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18) Problem #PRAF38V "PRAF38V - 172936 - Men and women par..." |
A)
Men and women participate in sports for different reasons. But how different are these reasons? It has been argued that people play sports to either be better than other people, or for the desire to master that sport. A study on why men and women play sports was taken with 67 men and 67 women. HSC-HM stands for high social comparison-high mastery, HSC-LM stands for high social comparison-low mastery, LSC-HM stands for low social comparison-high mastery, LSC-LM stands for low social comparison-low mastery. They all attempt to encapsulate all of the reasons why men and women play sports. Here were the results: HSC-LM - 14 (F) 31 (M) HSC-LM - 7 (F) 18 (M) LSC-LM - 21 (F) 5 (M) LSC-LM - 25 (F) 13 (M) After making a two-way table of the data, what is the chi-square statistic? |
Algebraic Expression:
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B)
What is the p-value for this problem? |
Multiple Choice:
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19) Problem #PRAF359 "PRAF359 - Goodness of Fit" |
A)
The following numbers are the approximate percentages students earned as their final grade in AP Statistics taught by professors for the past three years. A - 38% B - 42% C - 9% D - 9% F - 2% In a sample of 1000 students taught by teacher assistants, the numbers are as follows: A - 355 B - 400 C - 120 D - 105 F - 20 Does this set of data provide evidence that the distribution of grades among students taught by professors differ from the students taught by teacher assistants? What is the degrees of freedom? |
Algebraic Expression:
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B)
What is the chi-square? Round to the nearest tenth. |
Algebraic Expression:
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C)
What is the p-value? |
Multiple Choice:
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D)
What is the conclusion? Assume we are testing at the 0.05 level of significance. |
Multiple Choice:
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20) Problem #PRAF38G "PRAF38G - Test for Homogeneity" |
A)
In a study of the shopping habits of consumers, 300 people are selected at random, 100 men and 200 women. The results are as follows: Stop & Shop Shaws Market Basket Men 50 30 20 Women 50 80 70 Does this set of data provide evidence that men and women have different preferences over where they shop? Test at the 0.05 level of significance. What is the degrees of freedom? |
Algebraic Expression:
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B)
What is the chi-square? Round to the nearest tenth. |
Algebraic Expression:
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C)
What is the conclusion? |
Multiple Choice:
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21) Problem #PRAF38U "PRAF38U - 172935 - You take a bag of..." |
A)
You take a bag of 100 skittles and pick out three at a time and observe how many times you get 0, 1, 2, or 3 red ones. pretend that there are six possible colors. you observe. Your observations are as followed: Number of Reds: How many times you get that number: 0 48 1 35 2 15 3 3 Find the chi-squared statistic: (round to 10th) |
Exact Match (case sensitive):
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B)
What is the p-value? |
Multiple Choice: |
22) Problem #PRAF38Z "PRAF38Z - 172940 - We surveyed 20 co..." |
A)
We surveyed 20 college students and 10 highschool students asking which was their favorite foods. pizza , chinese, or sandwiches. The table turned out like Pizza Chinese Sandwiches Totals Highschool: 5 3 2 10 College : 5 8 7 20 Totals: 10 11 9 30 What is chi-squared? |
Exact Match (case sensitive):
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B)
p-value? |
Multiple Choice:
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23) Problem #PRAF37W "PRAF37W - 172906 - You play a dice g..." |
A)
You play a dice game in which you win if you roll a 3. The die is supposedly fair, but after playing many games, you suspect that the die is loaded. Results of 500 rolls of the die are: Number:Frequency 1: 93 2: 82 3: 87 4: 76 5: 72 6: 90 a). State the null and alternative hypotheses. |
Multiple Choice:
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B)
b). Perform a goodness of fit test. Is there evidence that the die is loaded? |
Multiple Choice:
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Hints: |
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0.0025<p<0.005 |
24) Problem #PRAF383 "PRAF383 - 172942 - Describe the step..." |
Describe the steps for performing a chi-square test for homogeneity of populations. |
Ungraded Open Response: |
25) Problem #PRAF37S "PRAF37S - 172902 - According to the ..." |
A)
According to the principal the grade distribution is as follows: A-50% B-20% C-20% D-5% F-5% A random sample of 500 students gave the following distribution: A-200 B-100 C-100 D-80 F-20 What is the chi-square statistic? round to tenths |
Exact Match (case sensitive):
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B)
what is the p value? |
Multiple Choice:
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26) Problem #PRAF37Y "PRAF37Y - 172908 - Researchers want ..." |
A)
Researchers want to know if smoking more packs a day causes cancer. None- 10 yes 50 no 1 pack- 60 yes 10 no 2 packs- 100 yes 5 no what is the chi-square statistic? round to tenths |
Exact Match (case sensitive):
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B)
what is p value? |
Multiple Choice:
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27) Problem #PRAF38F "PRAF38F - 172923 - In the US adult p..." |
A)
In the US adult population, 28.1% were never married, 56.3% are married, 6.4% are widowed, and 9.2% are divorced. In a survey of 500 US adults, 260 were never married, 220 are married, 0 are widowed, and 20 are divorced. Before we can determine whether the sample data differs significantly from the total population, we have to find the expected values for each of the categories. What is the expected value for being never married? |
Multiple Choice:
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Hints: |
500 x .281 = ? |
B)
Now, you find the expected value for all four categories. You should get: 140.5 for never married, 281.5 for married, 32 for widowed, and 46 for divorced. With these, you can now plug into the equation {(observed - expected)^2} / expected Using this equation, what do you get for the never married category? |
Multiple Choice:
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C)
Now you use that equation for each of the four categories. You should get: 101.64 for never married, 13.44 for married, 32 for widowed, and 14.70 for divorced. Now add these together to get your final chi-square value. You should get 161.78. Finally, before we can get our final p-value answer, we must determine the degrees of freedom (df) in order to know what row to look at in the chi-square table. What is our df for this problem? |
Multiple Choice:
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D)
Good, now that we have our df of 3 and our chi-square value of 161.78, we can go to the chi-square table and find our p-value. What is that p-value? |
Multiple Choice:
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28) Problem #PRAF38W "PRAF38W - 172937 - The following two..." |
A)
The following two-way table has to do with different treatments getting people to quit smoking. p.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Helvetica; min-height: 14.0px} p.p2 {margin: 0.0px 0.0px 0.0px 0.0px; font: 10.0px 'Helvetica Neue'} p.p3 {margin: 0.0px 0.0px 0.0px 0.0px; text-align: right; font: 10.0px 'Helvetica Neue'} span.s1 {letter-spacing: 0.0px} table.t1 {background-color: #ffffff; border-collapse: collapse} td.td1 {width: 73.8px; height: 12.0px; border-style: solid; border-width: 0.2px 0.2px 0.2px 0.2px; border-color: #d6d6d6 #d6d6d6 #d6d6d6 #d6d6d6; padding: 1.0px 2.0px 1.0px 2.0px} td.td2 {width: 67.8px; height: 12.0px; border-style: solid; border-width: 0.2px 0.2px 0.2px 0.2px; border-color: #d6d6d6 #d6d6d6 #d6d6d6 #d6d6d6; padding: 1.0px 2.0px 1.0px 2.0px}
The first thing we have to do is to find the expected values for each treatment/outcome combination. What is the expected value for the top left box (row 1, column 1)? |
Multiple Choice:
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Hints: |
(row total x column total) / total |
B)
Now do that same equation for each of the numbers. This is what you should end up with: p.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Helvetica; min-height: 14.0px} p.p2 {margin: 0.0px 0.0px 0.0px 0.0px; font: 10.0px 'Helvetica Neue'} p.p3 {margin: 0.0px 0.0px 0.0px 0.0px; text-align: right; font: 10.0px 'Helvetica Neue'} span.s1 {letter-spacing: 0.0px} table.t1 {background-color: #ffffff; border-collapse: collapse} td.td1 {width: 73.8px; height: 12.0px; border-style: solid; border-width: 0.2px 0.2px 0.2px 0.2px; border-color: #d6d6d6 #d6d6d6 #d6d6d6 #d6d6d6; padding: 1.0px 2.0px 1.0px 2.0px} td.td2 {width: 67.8px; height: 12.0px; border-style: solid; border-width: 0.2px 0.2px 0.2px 0.2px; border-color: #d6d6d6 #d6d6d6 #d6d6d6 #d6d6d6; padding: 1.0px 2.0px 1.0px 2.0px}
Now that you have all these values, you use the same equation as last time to find the chi-square value: {(o-e)^2} / e Using this equation, what do you get for the top left box? |
Multiple Choice:
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C)
Now use this same equation for all boxes. This is what you should get: p.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Helvetica; min-height: 14.0px} p.p2 {margin: 0.0px 0.0px 0.0px 0.0px; font: 10.0px 'Helvetica Neue'} p.p3 {margin: 0.0px 0.0px 0.0px 0.0px; text-align: right; font: 10.0px 'Helvetica Neue'} span.s1 {letter-spacing: 0.0px} table.t1 {background-color: #ffffff; border-collapse: collapse} td.td1 {width: 73.8px; height: 12.0px; border-style: solid; border-width: 0.2px 0.2px 0.2px 0.2px; border-color: #d6d6d6 #d6d6d6 #d6d6d6 #d6d6d6; padding: 1.0px 2.0px 1.0px 2.0px} td.td2 {width: 67.8px; height: 12.0px; border-style: solid; border-width: 0.2px 0.2px 0.2px 0.2px; border-color: #d6d6d6 #d6d6d6 #d6d6d6 #d6d6d6; padding: 1.0px 2.0px 1.0px 2.0px}
Now you add all these together. You should get 34.94. After this, the only thing left to do is find the degree of freedom (df). What is df? |
Multiple Choice:
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Hints: |
degree of freedom = (# of rows minus 1) times (# of columns minus 1) |
D)
Good, now that we have our df of 3 and our final chi-square value of 34.94, we can look at the chi-square table and find our p-value. What is that p-value? |
Multiple Choice:
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29) Problem #PRAF38Y "PRAF38Y - 172939 - Chi-Square Test for Goodness-of-Fit" |
A)
Chi-Square Goodness-of-Fit Test Pretend it's summer: Lets say we want to find out if the distribution of kids that go to the playground in Lowell during a 5 day period is uniformly distributed at the α=0.05 significance level. The data is as follows:
Ho: number of kids is uniformly distributed Ha: number of kids is NOT uniformly distributed Calculate the Chi-Square Statistic using the formula: X2 = Σ [ (O-E)2 / E ] |
Algebraic Expression:
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Hints: |
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B)
To use the table: remember that df = k-1 In this case, k=5 because we were looking at a period of 5 days. Find where a=0.05 and df=4 meet on the table. This is the needed Chi-Square Value. What is it for this problem? (round to the tenths place) |
Algebraic Expression:
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Hints: |
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C)
What should we conclude? |
Multiple Choice:
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D)
This means that the distribution of kids on the playground is uniformly distributed. Do you understand? |
Multiple Choice:
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30) Problem #PRAF386 "PRAF386 - Test for Homogenity" |
This test is used for a single categorical variable. Its purpose is to test whether frequency counts are distributed identically across different populations. An example would be seeing if there is a difference in ice cream flavor preference between men and women. Which criteria must be met to wproceed with this procedure. Check all that apply. |
Check All That Apply:
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31) Problem #PRAF36R "PRAF36R - 172870 - In a recent study..." |
A)
In a recent study the scores of 1500 randomly selected students that took the AP Statistics Test were released and the followign table lays out the percentage spread amongst all of those who's scores were counted.
Determine the chi-squared test statistic for these sets of data. Round to the nearest tenth. |
Algebraic Expression:
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B)
Determine the p-value. |
Multiple Choice:
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32) Problem #PRAF385 "PRAF385 - 172944 - Shop owners of a ..." |
A)
Shop owners of a lavish downtown area suit warehouse has long sought the approval of their customers. They have thus determined that depending on the suit that their customer purchases regularly they should play ambient music from the same country as the suit maker. For instance a man buying an Italian suit one day may hear a little music from Venice playing softly in the distance. The following are the the numbers for these tests done within a 3 month's span so as to not discourage customers:
Calculate the chi-squared test statistic. Round to the nearest tenth. |
Algebraic Expression:
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B)
Calculate the p-value. |
Multiple Choice:
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33) Problem #PRAF38M "PRAF38M - 172928 - Assume that you b..." |
A)
Assume that you buy a bag of jolly ranchers with the colors Blue Red Green and Purple If they claim that the distribution is equal (each color has 25%) and you buy a bag that ended up with 19 Purples, What would the equation for Chi Square be ? H0= p=25% Ha= p< 25% |
Multiple Choice:
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B)
Diners were sampled on how their expierience was at the new local restaraunt. The catagories are divided up by the day they were surveyed and the score Sunday Monday Tuesday Wed. Thursday Friday Saturday 150 70 78 72 75 99 145 Surveyed Frequency .15 .2 .05 .3 .05 .4 .03 Provide an analysis of this data set. |
Ungraded Open Response: |
34) Problem #PRAF39A "PRAF39A - 172949 - In order to test ..." |
In order to test whether a coin is fair, you toss the coin 100 times. You obtain the following data: | |||||||||
Assuming that alpha = .05, is the coin fair?
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Multiple Choice:
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Hints: |
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35) Problem #PRAF38X "PRAF38X - 172938 - Given the followi..." |
A)
Given the following data, answer the following questions. Number of students absent on a daily basis.
Using the chi-square statistic method, what is chi-square? Round to the nearest tenths. |
Algebraic Expression:
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B)
Using the answer you got above, what is the p-value? ***Answers below are in the form 0.005, 0.01 which stands for 0.0005<p-value<0.001. Due to technical problems, the less than and the p-value can not be inserted into the multiple choice answers. |
Multiple Choice:
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Hints: |
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36) Problem #PRAF387 "PRAF387 - 172946 - Use the two-way t..." |
A)
Use the two-way tables to answer the following question.
What is chi-square? Round to the nearest tenths. |
Algebraic Expression:
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B)
Using the answer from above, what is the p-value? |
Multiple Choice:
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Hints: |
The p-value of a df of 4 and chi-square of 53.7 is not located on the chart, but it is evident that it is approximately 0. |
37) Problem #PRAF389 "PRAF389 - 172948 - A survey company ..." |
A)
A survey company claims that 30% of high school students spend approximately three hours on Facebook a night(group A), 60% spend two hours(group B), and 10% spend more than three hours(goup C). Suppose a randomly-selected group of 100 people has 50 of group A, 45 of group B, and 5 of group C. Is this consistent with the claim? Use a 0.05 level of significance. State the null hypothesis and an alternative hypothesis. |
Multiple Choice:
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B)
Refering to the previous problem, perfrom a chi-square goodness of fit test. What is X²? Round your answer to the nearest hundredth. |
Algebraic Expression:
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C)
What is the p-value? |
Multiple Choice:
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D)
What is the conclusion? |
Multiple Choice:
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38) Problem #PRAF39B "PRAF39B - 172950 - A student in your..." |
A)
A student in your statistics class selects a random sample of
300 students in your school - 100 boys and 200 girls. Each is asked
which school subject he or she likes best: English/History, Math/Science, Foreign Language. Do the boys' preferences for school subjects differ
significantly from the girls' preferences? Use a 0.05
level of significance. Conduct a chi-square test for homogeneity. What is X²? Round your answer to the nearest hundredth.
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Algebraic Expression:
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B)
What is the p-value? |
Multiple Choice:
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C)
What is the conclusion? |
Multiple Choice:
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39) Problem #PRAF39C "PRAF39C - 172951 - In a bag of starb..." |
A)
In a bag of starbursts, there are four colors. James decided to count the number of each color one day to see if there is an equal distribution of colors and recorded the data: Red: 100 Orange: 145 Yellow: 95 Pink: 150 Total: 540 What is the chi-square value? |
Algebraic Expression:
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B)
What is the p-value? |
Multiple Choice:
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40) Problem #PRAF39D "PRAF39D - 172952 - A soda company is..." |
A)
A soda company is testing three new types of soda and are asking the people for positive or negative feedback. The results are displayed:
Conduct a chi-square test for homogeniety and find the chi-square value. |
Algebraic Expression:
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B)
What is the p-value? |
Multiple Choice:
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41) Problem #PRAF39H "PRAF39H - 172956 - A bag of colored ..." |
A)
A bag of colored blocks is used for a game during a party. There are 100 blocks, which the MC claimed that there are 30% of red blocks, 60% of blue blocks, and 10% of yellow blocks. But a child in the room also has the exact same game and bag, with 50 red blocks, 45 blue blocks, and 5 yellow blocks. Is this consistent with the MC's claim? Find the chi square test statistic and round to the nearest tenth. |
Algebraic Expression:
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B)
What is the p-value? |
Multiple Choice:
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42) Problem #PRAF39E "PRAF39E - 172953 - A study is conduc..." |
A)
A study is conducted among 300 students, consisting of 100 boys and 200 girls. This study is trying to determine if the boys' preference for TV shows differ than that of the girls. 50 boys prefer Pokemon, 30 prefer Sesame Street, and 20 prefer The Simpsons. 50 girls prefer Pokemon, 80 prefer Sesame Street, and 70 prefer The Simpsons. Calculate the chi square test statistic and round to the nearest tenth. |
Algebraic Expression:
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B)
What is the p-value? |
Multiple Choice:
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43) Problem #PRAF39J "PRAF39J - Problem #172957" |
A)
There is a study that is testing whether or not the population of Asian carp, an invasive species, in the Great Lakes is still the same since 1994. Taking samples from 5 different sites, the observed values were: 20 51 32 67 12. The expected values from 1994 were: 16 49 35 60 8 What is the chi-square value? Round to the nearest hundredths place. |
Algebraic Expression:
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B)
What is the p-value of the chi-square statistic? |
Multiple Choice:
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44) Problem #PRAF39K "PRAF39K - 172958 - This table shows ..." |
A)
This table shows the distribution of parents who drink alcohol and whether or not the student drinks as well: Student drinks Student does not drink Both parents drink 201 611 One parent drinks 156 743 Neither parent drinks 396 865 Find chi-square. Round to the nearest hundredth. |
Algebraic Expression:
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B)
What is the p-value for chi square? |
Multiple Choice:
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45) Problem #PRAF36H "PRAF36H - 172863 - The data must be ..." |
The data must be in ______, not ________ |
Multiple Choice:
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46) Problem #PRAF36G "PRAF36G - 172862 - How do you find e..." |
How do you find expected count? |
Multiple Choice:
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47) Problem #PRAF35N "PRAF35N - 172836 - A survey was take..." |
A)
A survey was taken from a population of 535 students asking then what their preferred color of m&m's is, here are the results: Color: Blue Red Yellow Green Orange Observed: 167 158 101 79 30 Expected: 82 118 133 106 97 What is chi -squared? |
Multiple Choice:
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Hints: |
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B)
What is the degrees of freedom? |
Algebraic Expression:
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Hints: |
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C)
What is the p-value? |
Exact Match (case sensitive):
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48) Problem #PRAF35P "PRAF35P - 172837 - A survey was take..." |
A)
A survey was taken at a high school asking for student's preferred soda, here are the results: Sugar No Sugar Pepsi 16 11 Coke 38 18 Mountain D 75 29 What is chi-squared? |
Algebraic Expression:
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Hints: |
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B)
What is the degrees of freedom? |
Algebraic Expression:
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C)
What is the p-value? |
Exact Match (case sensitive):
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49) Problem #PRAF37U "PRAF37U - 172904 - What is a goodnes..." |
A)
What is a goodness of fit test used for? |
Multiple Choice:
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B)
True or False: In a Chi-Square Test for Homogeneity of Populations, the P-value is the area to the left of X^2 under the Chi-Square density curve with df degrees of freedom. |
Multiple Choice:
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50) Problem #PRAF4FY "PRAF4FY - 173156 - In a bag of mixe..." |
A)
In a bag of mixed chocolate. 30% of the chocolate is white, 60% is milk, and 10% is dark. There are 100 total chocolates in the bag. Suppose a randomly-selected package of chocolates has 50 white 45 milk and 5 dark. Use a 0.05 level of significance. Find the Chi-Square Statistic and round to the nearest tenth. |
Exact Match (case sensitive):
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Hints: |
Χ2 = [ (50 - 30)2 / 30 ] + [ (45 - 60)2 / 60 ] + [ (5 - 10)2 / 10 ] Χ2 = (400 / 30) + (225 / 60) + (25 / 10) = 13.33 + 3.75 + 2.50 = 19.58 |
B)
Now find the p-value. |
Multiple Choice:
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51) Problem #PRAF4GB "PRAF4GB - 173167 - ..." |
A)
Find the chi-sqaure statistic. |
Exact Match (case sensitive):
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B)
Now calculate the p-value. |
Multiple Choice:
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52) Problem #PRAF4HZ "PRAF4HZ - 173219 - A survey of all A..." |
A)
A survey of all Americans found that 53% were steadily employed, 32% were unemployed, and 15% were working unsteady odd jobs. A simple random sample of 500 American adults was taken, and found that 247 were employed, 96 were unemployed, and 157 people were working unsteady jobs. What is chi-square? Round to the nearest tenth. |
Algebraic Expression:
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B)
What are the degrees of freedom? |
Multiple Choice:
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53) Problem #PRAF4H2 "PRAF4H2 - 173220 - A survey took the..." |
A)
A survey took the Average test scores of boys and girls at two different schools. School 1 School 2 Girls 79 87 Boys 75 82 What is chi-square? Round to the nearest tenth. |
Algebraic Expression:
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B)
What is the degrees of freedom? |
Multiple Choice:
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54) Problem #PRAF4H4 "PRAF4H4 - 173222 - You walk into a s..." |
You walk into a store and the owner is all confused. She had ordered food to stock her shelves based on the perviously bought food. She is concerned because people are looking for things she no longer has See the table below. Item Number Expected Number Actually Needed Milk 10 17 Cheese 5 1 Bread 9 8 Eggs 11 6 What is the chi square for the info she collected? Round to the nearest 10th place |
Algebraic Expression:
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55) Problem #PRAF4H5 "PRAF4H5 - 173223 - What is the degre..." |
What is the degree of freedom for a test for homogeneity in the chi square table for a set of data with 7 rows and 9 columns? |
Multiple Choice:
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56) Problem #PRAF4H7 "PRAF4H7 - 173225 - The following tab..." |
A)
The following table has been created by World Public Health Organization on diet plans: Diet Plan Yes No Weight Loss Percentage 63 37 A dietician surveyed her 500 of her clients: Diet Plan Yes No Weight Loss Frequency 348 152 Find x2 and round to the nearest hundredths. HINT: x2 = sum of (observed - expected)2 / expected |
Algebraic Expression:
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B)
What is the degree of freedom? HINT: degree of freedom = n - 1 |
Algebraic Expression:
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C)
What is the p-value? HINT: look under the chi- square table with the x2 and df |
Multiple Choice:
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D)
Conclusion? |
Multiple Choice:
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57) Problem #PRAF4H8 "PRAF4H8 - 173226 - The average stude..." |
A)
The average student takes at least one AP class during high school. The following table has been made by College Board on the average percentage of students and their AP scores: Grade 1 2 3 4 5 Percentage 11 22 32 25 10 A teacher in Bellwater High surveyed all the high school students taking an AP course for their grade: Grade 1 2 3 4 5 Frequency 87 128 193 166 92 Find x2 and round to the nearest hundredths. HINT: x2 = sum of (observed - expected)2 / expected |
Algebraic Expression:
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B)
What is the degree of freedom? HINT: degree of freedom = n - 1 |
Algebraic Expression:
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C)
What is the p-value? HINT: look under the chi- square table with the x2 and df |
Multiple Choice:
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D)
Conclusion? |
Multiple Choice:
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58) Problem #PRAF4H3 "PRAF4H3 - 173221 - In the year 2000,..." |
A)
In the year 2000, a hat-making store sold 2458 red hats, 5934 black hats and 1608 white hats. In 2010, the hat maker sold 1003 red hats, 2594 black hats and 1403 white hats. Based on the year 2010's observations, determine whether or not the 2000 population distribution greatly differs from the 2000 distribution. What is the chi-squared test statistic to the tenth place? |
Algebraic Expression:
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B)
What is the p-value? If needed, round to the tenth place. |
Algebraic Expression:
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59) Problem #PRAF4H6 "PRAF4H6 - 173224 - Two students took..." |
A)
Two students took a pre-exam practice math test and history test. The first student scored a 78 and 91 respectively while the second student scored a 86 and 84. These practice tests were out of 100 points. On the actual exam, worth 200 points, the first student scored a 150 and 173 while the second student scored a 180 and 178. What is the chi-square test statistic to the nearest tenth? |
Algebraic Expression:
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B)
Two students took a pre-exam practice math test and history test. The first student scored a 78 and 91 respectively while the second student scored a 86 and 84. These practice tests were out of 100 points. On the actual exam, worth 200 points, the first student scored a 150 and 173 while the second student scored a 180 and 178. What is the chi-square test statistic to the nearest tenth? |
Algebraic Expression:
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60) Problem #PRAF4H9 "PRAF4H9 - Chapter 13" |
A)
Everybody likes chocolate. However, there has been a recent study that says that people are beginning to favor dark chocolate over the traditional milk chocolate. Here is a table showing the data: Age Number of People in U.S. Percent 0-20 34,897,900 19.82 21-40 60,285,387 34.24 41-60 56,962,123 32.35 61-80 23,926,062 13.59 20 years ago, this was not the case. A sample of 200 people were once collected, and here are their percents: Age Number of People Percent 0-20 91 45.5 21-40 50 25 41-60 32 16 61-80 27 13.5 Total: 200 100 What is the chi-squared statistic of this problem set? |
Multiple Choice:
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B)
A smart card-player at Vegas challenges you to a game. He has four cards, three of them either a Jack, Queen, and King, and the fourth card is just a simple number (ranging from 2-10). If you choose the card that isn't a number, you win a prize. He gives you some statistics on his 500 recent players to give you a clue of the game: Card Frequency Jack 95 Queen 105 King 135 Number 165 Perform a goodness of fit test and decide whether or not the game is a jip? |
Multiple Choice:
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61) Problem #PRAF4JU "PRAF4JU - Chi-Square (Test for Homogeneity)" |
A)
Below shows the observed and expected counts for the different study methods that 20 kids have tried utilizing and whether it helped with their understanding of the material.
What is the chi-square statistic? Round answer to the nearest tenths place. |
Algebraic Expression:
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B)
What is the p-value? Note that df = (r-1)(c-1). Use the chi-square distribution chart. |
Multiple Choice:
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62) Problem #PRAF4JV "PRAF4JV - 173246 - A survey of favor..." |
A)
A survey of favorite colors showed these results: Blue: %15 Green: %20 Red: %50 Purple: %15 A random sample of 200 people showed these results: Blue: 30 Green: 68 Red: 75 Purple: 27 Perform a Goodness of Fit Test. What is X2? |
Multiple Choice:
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B)
What is the P-value? |
Multiple Choice:
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63) Problem #PRAF4JY "PRAF4JY - 173249 - What are the cond..." |
What are the conditions for using a chi-squared test? |
Multiple Choice:
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64) Problem #PRAF4JS "PRAF4JS - 173243 - In the whole worl..." |
A)
In the whole world, there are 3 main hair colors as well as some people who just show off their shiny scalp. The four categories are listed below wit hthe percetages of people in the world. Black Blonde Brown Bald 34.2% 11.4% 48.3% 5.1% A random survey was taken of 500 people that yielded the following results: Black Blonde Brown Bald 160 65 219 56 If ou perform a goodness of fit test, what is the x^2 value? |
Multiple Choice:
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B)
What is the P Value? |
Multiple Choice:
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65) Problem #PRAF4JZ "PRAF4JZ - 173250 - How do you calcul..." |
How do you calculate the expected values? |
Multiple Choice:
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66) Problem #PRAF4JR "PRAF4JR - 173242 - Chi-Square (Goodness of Fit)" |
A)
A hair salon recently predicted the sales of three popular hair dyes. They believed that out of 50 customers, 24 would buy blond, 13 would buy brunette and 13 would buy ginger. In reality, out of 50 customers, 20 customers bought blond, 10 customers bought brunette and 20 customers bought ginger. What is the chi-square statistic? Round answer to the nearest tenths place. |
Algebraic Expression:
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B)
What is the p-value? Use the chi-square distribution chart. |
Multiple Choice:
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67) Problem #PRAF4K8 "PRAF4K8 - 173288 - You go to a casin..." |
A)
You go to a casino and roll a dice 100 times in order to see whether it is a fair dice. The observed counts for the sides 1, 2, 3, 4, 5, and 6 are 21, 18, 23, 15, 10, and 13 respectively. If the dice is fair, the probability of each outcome should be 1/6. Find the chi square statistic. Round to the tenths. |
Algebraic Expression:
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B)
Find the p-value. |
Multiple Choice:
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68) Problem #PRAF4K9 "PRAF4K9 - 173289 - Two exotic fruits..." |
A)
Two exotic fruits were brought for a sample tasting in a classroom. A SRS of student were taken to see whether they liked or disliked a certain fruit. For fruit A, 20 students said yes, and 8 said no. For fruit B, 32 said yes, and 19 said no. Draw a two-way table in your notebook, and determine the chi square statistic. Round to the tenths power. |
Algebraic Expression:
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B)
What is the p-value |
Multiple Choice:
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69) Problem #PRAF4MB "PRAF4MB - 173291 - Below is the brea..." |
A)
Below is the breakdown of majors in the United States Major: Chemistry Physics Statistics Percent: 40% 17% 43% Below is the breakdown of majors of a random sample of 300 U.S. college students. Major: Chemistry Physics Statistics Frequency: 110 40 150 Perform a goodness of fit test to determine if the major distribution of the random sample differs from that of the U.S. population. What is the chi-square test statistic? Please round to the tenths place. |
Algebraic Expression:
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Hints: |
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B)
Using table, find what is the p-value? |
Multiple Choice:
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70) Problem #PRAF4MC "PRAF4MC - 173292 - Based on the stud..." |
A)
Based on the study, the date was found below. Basketball shots Gender made within 30 seconds: Female Male 0 2 3 3 20 12 5 3 5 Perform a chi-square test for homogoneity. What is the chi-squared test statistic? Please round to the tenths place. |
Algebraic Expression:
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Hints: |
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B)
What is the p-value? |
Multiple Choice:
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71) Problem #PRAF4MD "PRAF4MD - 173293 - Find the P-value ..." |
Find the P-value corresponding to X²=1.41 for a chi-square distribution with 1 defree of freedom: (i) using Table E and (ii) with your graphing calculator. |
Ungraded Open Response: |
72) Problem #PRAF4MG "PRAF4MG - 173296 - Sex Goal Female..." |
Sex Goal Female Male HSC-HM 14 31 HSC-LM 7 18 LSC-HM 21 5 LSC-LM 25 13 Use Table E to find the P-value for the test. Explain what it tells you. |
Ungraded Open Response: |
73) Problem #PRAF4MJ "PRAF4MJ - 173298 - AP Physics is one..." |
A)
AP Physics is one of the most challenging courses at Boston Latin School. We want to know if there is a relationship between the amount of hours spent per night on studying for that class and whether the student was able to receive a good grade of a 80 % or better. Below is the data for 60 students.
What is X2? Round answer to nearest tenths. |
Exact Match (case sensitive):
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B)
What is the P-Value? |
Multiple Choice:
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74) Problem #PRAF4MH "PRAF4MH - 173297 - At Boston Latin S..." |
A)
At Boston Latin School we want to know whether there is a relationship between the grade a student is in and the amount of students who eat school lunch.
|
Exact Match (case sensitive):
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B)
What is the P-value between? |
Multiple Choice:
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75) Problem #PRAGAHR "PRAGAHR - 178977 - Number of births ..." |
A)
Number of births at a hospital one week: Mon:13 Tue:16 Wed:16 Thu: 14 Fri: 15 Sat:14 Sun:12 Assuming that the birth rate each day is the same (each day of the week, 1/7 of the world's babies are born), what is chi-square equal to? Round to the tenths place |
Algebraic Expression:
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B)
What is the p-value for the problem above? |
Ungraded Open Response:
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76) Problem #PRAGAJB "PRAGAJB - 178995 - Number of births ..." |
A)
Number of births at hospital A one week: Mon:13 Tue:16 Wed:16 Thu: 14 Fri: 15 Sat:14 Sun:12 Number of births at hospital B the same week: Mon:24 Tue:28 Wed:30 Thu:28 Fri:32 Sat:32 Sun:26 chi-squared=? *hint: round all expected values to the tenths place* round the answer to the hundreths place. |
Algebraic Expression:
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B)
the p-value equals: |
Multiple Choice:
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77) Problem #PRAF37V "PRAF37V - 172905 - Calculate ..." |
A)
Calculate the N 1) 25% 2) 30% 3) 15% 4) 15% 5) 15% 1)234 2) 65 3) 78 4) 56 5) 67 |
Algebraic Expression:
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B)
Calculate the Chi-square distribution ((O-E)^2)/E) Round to the ones palce |
Algebraic Expression:
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78) Problem #PRAF37T "PRAF37T - 172903 - Foxwoods Casino..." |
Foxwoods Casino has a new game. The player rolls 3 dice and the amount of 6's the roll is directly proportional to their winnings. Frank plays the game 100 times with the following counts:
test. What is the chi-square test statistic?
|
Algebraic Expression:
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79) Problem #PRAF38D "PRAF38D - 172921 - Referring to the ..." |
Referring to the previous problem, what is the p-value? |
Multiple Choice:
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80) Problem #PRAF38E "PRAF38E - 172922 - A psychologist wa..." |
A psychologist was writing a book on how technology is affecting the younger generation. She selects a random sample of 300 third graders (100 boys and 200 girls) and asks which TV program they like best: Hannah Montana, Arthur, or Wizards of Waverly Place. These are the results: Viewing Preferences Arthur Hannah Montana Wizards of Waverly Place Total Boys 50 30 20 100 Girls 50 80 70 200 Total 100 110 90 300 Do the boys' preferences for TV differ significantly from the girls' preferences? What is the chi-square statistic? Round to the nearest tenth place.
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Algebraic Expression:
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81) Problem #PRAF38H "PRAF38H - 172925 - Referring to the ..." |
Referring to the previous problem, what is the p-value? |
Multiple Choice:
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