The table below summarizes data from a survey of a sample of women. Using a 0.05

Question

The table below summarizes data from a survey of a sample of women. Using a 0.05 significance level, and assuming that the sample sizes of 800 men and 300 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man 487 313 Woman 242 58 Women who agree Women who disagree ldentify the null and alternative hypotheses. Choose the correct answer below 0 A. Ho: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H1: The proportions are the same Ho. The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women. H1: The proportions are different H0: The response of the subject and the gender of the subject are independent. H1: The response of the subject and the gender of the subject are dependent. 0 B. ° C. Compute the test statistic. Round to three decimal places as needed.) Find the critical value(s). Round to three decimal places as needed. Use a comma to separate answers as needed.)

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var9
Columns: None

Chi-Square test:

Hence,

Hypotheses: Option C is correct.

Test Statistic = 38.236

Critical value = 3.841

Reject; is; indicates

Man Woman Total Women Who agree 487 242 729 Women who disagree 313 58 371 Total 800 300 1100

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