AnswersStatisticsPreparing to Conduct Inference for Two-Way Tables

Preparing to Conduct Inference for Two-Way Tables — Quiz Answers

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1
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The principal would like to know if these data provide convincing evidence that the distribution of responses differs across the grades in the population of all students in her school. What is the appropriate inference procedure?

A
chi-square test for association/independence because the data come from independent random samples
B
chi-square test for goodness of fit because the data come from one random sample
C
chi-square test for homogeneity because the data come from independent random samples
D
chi-square test for association/independence because the data come from one random sample
2
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The principal would like to know if these data provide convincing evidence that the distribution of responses differs across the grades in the population of all students in her school. The random and 10 percent conditions are met. Is the Large Counts condition met?

A
No, the smallest expected count is 3 point 0 6 , so the expected counts are not all at least 5 .
B
No, the smallest expected count is 0 point 1 9 , so the expected counts are not all at least 5 .
C
Yes, the smallest expected count is 23 point 7 5 , so all expected counts are at least 5 .
D
Yes, the smallest expected count is 26 point 2 5 , so all expected counts are at least 5 .
3

The pollster would like to know if these data provide convincing evidence of a relationship between residential status and political party in the population of all registered voters in Allegheny County. The random and 10 percent conditions are met. Is the Large Counts condition met?

A
Yes, the smallest expected count is 8 point 6 4 , so all expected counts are at least 5 .
B
No, the smallest expected count is 0 point 2 0 , so the expected counts are not all at least 5 .
C
Yes, the smallest expected count is 9 point 3 6 , so all expected counts are at least 5 .
D
No, the smallest expected count is 1 point 1 0 , so the expected counts are not all at least 5 .
4

The organizer for the concert would like to know if these data provide convincing evidence of a relationship between age and whether they are going to tonight’s concert in the population of all people from the city. What is the appropriate inference procedure?

A
chi-square test for goodness of fit because the data come from one random sample
B
chi-square test for association/independence because the data come from one random sample
C
chi-square test for association/independence because the data come from independent random samples
D
chi-square test for homogeneity because the data come from independent random samples
5

The principal would like to know if these data provide convincing evidence of a relationship between grade and having a driver’s license in the population of all students in this school. The random and 10 percent conditions are met. Is the Large Counts condition met?

A
No, the smallest expected count is 1 point 8 7 , so the expected counts are not all at least 5 .
B
No, the smallest expected count is 3 point 4 5 , so the expected counts are not all at least 5 .
C
Yes, the smallest expected count is 16 point 5 7 , so all expected counts are at least 5 .
D
Yes, the smallest expected count is 12 point 4 3 , so all expected counts are at least 5 .
6

The principal would like to know if these data provide convincing evidence of a relationship between grade level and having a driver’s license in the population of all students in her school. What is the appropriate inference procedure?

A
chi-square test for homogeneity because the data come from independent random samples
B
chi-square test for goodness of fit because the data come from one random sample
C
chi-square test for association/independence because the data come from one random sample
D
chi-square test for association/independence because the data come from independent random samples
7

The researcher would like to know if these data provide convincing evidence that the distribution of snack choice differs for the various room colors in the population of all volunteers like these. What is the appropriate inference procedure?

A
chi-square test for homogeneity because the data come from independent treatment groups
B
chi-square test for association/independence because the data come from independent treatment groups
C
chi-square test for association/independence because the data come from one random sample
D
chi-square test for goodness of fit because the data come from one random sample
8

The researcher would like to know if these data provide convincing evidence that the distribution of snack choice differs for the various room colors in the population of all volunteers like these. Are the conditions for inference met?

A
No, the 10 percent condition is not met.
B
Yes, all three conditions for inference are met.
C
No, the random condition is not met.
D
No, the Large Counts condition is not met.
9

The pollster would like to know if these data provide convincing evidence of a relationship between residential status and political party in the population of all registered voters in Allegheny County. What is the appropriate inference procedure?

A
chi-square test for homogeneity because the data come from independent random samples
B
chi-square test for association/independence because the data come from independent random samples
C
chi-square test for goodness of fit because the data come from one random sample
D
chi-square test for association/independence because the data come from one random sample
10

The manager would like to know if these data provide convincing evidence of an association between the shift worked and being on time in the large population of all workers at this warehouse. The random and 10 percent conditions are met. Is the Large Counts condition met?

A
Yes, the smallest expected count is 8 point 5 4 , so all expected counts are at least 5 .
B
Yes, the smallest expected count is 5 , so all expected counts are at least 5 .
C
No, the smallest expected count is 2 point 5 6 , so the expected counts are not all at least 5 .
D
No, the smallest expected count is 4 point 4 6 , so the expected counts are not all at least 5 .

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