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 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 Woman 513 236 64 Women who agree Women who disagree 287 Click here to view the chi-square distribution table. 111. TIC icSponso VI LIC SUNCui ANU LIC YCIUCI VILIC SUCUL AIC UcpciucIIL. O B. Ho: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. Hy: The proportions are the same. c. Ho: The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women. H : The proportions are different. Compute the test statistic. (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer.

Please also answer: P-value: found to four decimal places:

Thank you!

Answer 1

OBSERVED (0) MAN TOTAL 236 AGREE DISAGREE TOTAL WOMAN 5131 287 800) 64 300 749 351 1100 TOTAL EXPECTED E - FORMULA MAN AGREE 800*749/1100 DISAGREE 800*351/1100 WOMAN 300*749/1100 0 300*351/1100 0 TOTAL 0 01 1100 EXPECTED E MAN WOMAN TOTAL AGREE 544.7272727 204.2727273 749 255.2727273 95.72727273 351 DISAGREE TOTAL 800 300 1100

TEST STATISTICS s.no O E 1 21 (O-E)^2/E 544.7272727 1.847933608 204.2727273 4.927822956 255.2727273 3.943311318 95.72727273 10.51549685 1100 21.2346 513 236 287 64 1100 31 41 5 SUM CHI SQUARE = 21.235 DF = (2-1) * (2-1) = 1 -P VALUE 4.06277E-06 CHISQ.DIST.RT(21.235,1) 5 P VALUE = 0.0000 P VALUE = 0 <0.01 REJECT HO