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Chi-Square Test for Homogeneity — Quiz Answers

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The conditions for inference are met. The chi-square test statistic is 0 point 1 9 , df is equal to 2 , and the cap p -value is greater than any reasonable significance level. What conclusion should be made?

A
There is not convincing evidence that the proportion of these students, parents, and teachers who volunteer at least once a month differs.
B
There is not convincing evidence that the distribution of responses for the population of all students, parents, and teachers of this large high school differs.
C
There is convincing evidence that the distribution of responses for the population of all students, parents, and teachers of this large high school differs.
D
There is convincing evidence that the proportions of these students, parents, and teachers who volunteer at least once a month differs.
2
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The random and 10 percent conditions are met. Is the Large Counts condition met?

A
No, the smallest expected count is 0 point 0 5 , so the expected counts are not all at least 5 .
B
Yes, the smallest expected count is 5 point 8 5 , so all expected counts are at least 5 .
C
No, the smallest expected count is 0 point 0 4 , so the expected counts are not all at least 5 .
D
Yes, the smallest expected count is 6 , so all expected counts are at least 5 .
3

The conditions for inference are met. What is the value of the chi-square test statistic and what are the degrees of freedom for this test?

A
chi squared is equal to 0 point 1 9 , df is equal to 2
B
chi squared is equal to 0 point 4 4 , df is equal to 2
C
chi squared is equal to 0 point 4 4 , df is equal to 5
D
chi squared is equal to 0 point 1 9 , df is equal to 5
4

What are the appropriate hypotheses to determine if the distribution of grades would differ for all students like these under these two treatments?

A
cap h sub 0 : There is no difference in the distribution of grades for all students like these who use a small or large index card. cap h sub A : There is a difference in the distribution of grades for all students like these who use a small or large index card.
B
cap h sub 0 : There is no association between index card size and grade. cap h sub A : There is an association between index card size and grade.
C
cap h sub 0 : There is a difference in the distribution of grades for all students like these who use a small or large index card. cap h sub A : There is no difference in the distribution of grades for all students like these who use a small or large index card.
D
cap h sub 0 : There is an association between index card size card and grade. cap h sub A : There is no association between index card size card and grade.
5

Are the conditions for inference met?

A
No, the random condition is not met.
B
No, the 10 percent condition is not met.
C
No, the Large Counts condition is not met.
D
Yes, all three conditions for inference are met.
6

The conditions for inference are met. The chi-square test statistic is 0 point 1 9 and df is equal to 2 What is the appropriate decision using alpha is equal to 0 point 0 5 ? Use the chi-square table.

A
Because the cap p -value is less than alpha is equal to 0 point 0 5 , the null hypothesis should be rejected.
B
Because the cap p -value is less than alpha is equal to 0 point 0 5 , the null hypothesis should not be rejected.
C
Because the cap p -value is greater than alpha is equal to 0 point 0 5 , the null hypothesis should not be rejected.
D
Because the cap p -value is greater than alpha is equal to 0 point 0 5 , the null hypothesis should be rejected.
7

What are the appropriate hypotheses to determine if the distribution of response differs among all customers who dine at this restaurant during peak and off-peak hours?

A
cap h sub 0 : There is no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours. cap h sub A : There is a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.
B
cap h sub 0 : There is no difference in the distribution of service ratings among the 100 customers who dined at this restaurant during peak hours and the 70 customers who dined at this restaurant during off-peak hours. cap h sub A : There is a difference in the distribution of service ratings among the 100 customers who dined at this restaurant during peak hours and the 70 customers who dined at this restaurant during off-peak hours.
C
cap h sub 0 : There is a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours. cap h sub A : There is no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.
D
cap h sub 0 : There is a difference in the distribution of service ratings among the 100 customers who dined at this restaurant during peak hours and the 70 customers who dined at this restaurant during off-peak hours. cap h sub A : There is no difference in the distribution of service ratings among the 100 customers who dined at this restaurant during peak hours and the 70 customers who dined at this restaurant during off-peak hours.
8

The conditions for inference are met. The test statistic is chi squared is equal to 13 point 8 8 and the cap p -value is between 0 point 0 0 5 and 0 point 0 1 What conclusion should be made using alpha is equal to 0 point 0 5 ?

A
Because the cap p -value is less than alpha is equal to 0 point 0 5 , there is not convincing evidence of a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.
B
Because the cap p -value is less than alpha is equal to 0 point 0 5 , there is not convincing evidence of no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.
C
Because the cap p -value is less than alpha is equal to 0 point 0 5 , there is convincing evidence of a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.
D
Because the cap p -value is less than alpha is equal to 0 point 0 5 , there is convincing evidence of no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.
9

What are the appropriate hypotheses to determine if the distribution of response differs among these three populations?

A
cap h sub 0 : There is an association between the type of person who is surveyed and the response. cap h sub A : There is no association between the type of person who is surveyed and the response.
B
cap h sub 0 : There is no difference in the distribution of responses among these three populations. cap h sub A : There is a difference in the distribution of response among these three populations.
C
cap h sub 0 : There is no association between the type of person who is surveyed and the response. cap h sub A : There is an association between the type of person who is surveyed and the response.
D
cap h sub 0 : There is a difference in the distribution of responses among these three populations. cap h sub A : There is no difference in the distribution of responses among these three populations.
10

The conditions for inference are met. What is the value of the chi-square test statistic and cap p -value of this test? Use the chi-square table.

A
chi squared is equal to 15 point 8 2 . The cap p -value is between 0 point 0 5 and 0 point 1 0 .
B
chi squared is equal to 15 point 8 2 . The cap p -value is between 0 point 0 0 2 5 and 0 point 0 0 5 .
C
chi squared is equal to 13 point 8 8 . The cap p -value is between 0 point 0 0 5 and 0 point 0 1 .
D
chi squared is equal to 13 point 8 8 . The cap p -value is between 0 point 1 0 and 0 point 1 5 .

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