The table below summarizes data from a survey of a sample of women. Using a 0.01

Question

The table below summarizes data from a survey of a sample of women. Using a 0.01 significance level, and assuming that the sample sizes of 800 men and 300 women are predetermined, test the claim that the proportions of agreeldisagree 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 521 279 Woman 258 42 Women who agree Women who disagree Click here to view the chi-square distribution table. ldentify the null and alternative hypotheses. Choose the correct answer below 0 A. 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. 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 B. 0 C. Ho. The response of the subject and the gender of the subject are independent. H7: The response of the subject and the gender of the subject are dependent. 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.) What is the conclusion based on the hypothesis test? Ho. There sufficient evidence to warrant rejection of the claim that the proportions of agree/disagree responses are the that the gender of the interviewer affected the same for subjects interviewed by men and the subjects interviewed by women. It responses of women

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var1
Columns: None

Chi-Square test:

Hence,

Hypotheses: Option C is correct.

Test statistic = 46.006

Critical value = 6.635

Reject; is; appears

Man Woman Total Agree 521 258 779 Disagree 279 42 321 Total 800 300 1100

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