Difference between the proportions of women and men


Assignment:

Employee Perceptions Use the sample data shown below with a 0.05 significance level to test the claim that the percentage of women who say that female bosses are harshly critical is greater than the percentage of men. Does the significance level of 0.05 used in this exercise correspond to the 95% confidence level use for the preceding exercise? Considering the sampling method, is the hypothesis test valid?

Exercise

Employee Perceptions A total of 61,647 people responded to an Elle MSNBC.COM survey. It was reported that 50% of the respondents were women and 50% men. Of the women, 27% said that female bosses are harshly critical; of the men, 25% said that female bosses are harshly critical. Construct a 95% confidence interval estimate of the difference between the proportions of women and men who said that female bosses are harshly critical. How is the result affected by the fact that the respondents chose whether to participate in the survey?

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Basic Statistics: Difference between the proportions of women and men
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