Quiz 33-Chi-Square test for independence

Refer to the statistical output below. What is the appropriate p-value?

0.1547

Assume the conditions for the test are met. Refer to the table of chi-square components below. What is the chi-square component for females who read regularly? Hint: calculate for the blank cell. **see picture

0.881279

What are the appropriate degrees of freedom for this test? Hint: df = (r-1)(c-1)

2

What is the expected count for males who answered "Never"?

7.81

Suppose the p-value is 0.11. At the α = 0.05 level, what conclusion should be made?

Fail to reject H0. There is insufficient evidence that there is an association between gender and reading habits.

True or False: In a chi-square test, the "expected" counts are the values we expect if there is an association between the variables.

False

The following situation applies to Questions 1-7: To determine if there is an association between gender and reading habits, 270 adults are randomly sampled from across the United States and asked the following question: "How often do you read a book outside of work or school: regularly, sometimes, or never?" The results are summarized in the following table. What are the appropriate hypotheses for this chi-square test? **see picture

H0: "There is no association between gender and reading habits" vs. Ha: "There is an association between gender and reading habits"

True or False: A small chi-square test statistic supports the null hypothesis.

True

Suppose the expected count for males who answered "Never" is 11.3. Refer to the table of expected counts below. Is the sample size large enough to conduct a chi-square test? **see picture

Yes, all expected counts are greater than 5.

True or False: If a chi-square test is significant (i.e., there is an association between the variables), we should look at the conditional distributions as a follow-up analysis.

true