A 2017 Pew poll asked a random sample “Are men and women basically different in how they express feelings?” The results by gender (in percentages) are shown in the table below.

a. Assume the sample size for each gender was 100. Test the hypothesis that the proportions of men and women who agree with this statement are different. Report the test statistic, the p-value, and the conclusion.

b. The actual samples sizes for the survey were 2291 men and 2282 women. Repeat the hypothesis test using the actual sample sizes, reporting the test statistic, the p-value, and the conclusion.

c. Explain the difference in the results between parts a and b.

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Yes No Males 84% 16% Females 89% 11%