The Sydney Morning Herald recently published an article indicating differences in perception of sexual harassment on the job between men and women.The article claimed that women perceived the problem to be much more prevalent than did men.One question asked to both men and women was: "Do you think sexual harassment is a major problem in the Australian workplace?" Some 24% of the men compared to 62% of the women responded "Yes".Suppose that 150 women and 200 men were interviewed.What conclusion should be reached?

Question

Quizplus · Accepted Answer

We need to test whether the difference in the proportion of men and women who think sexual harassment is a major problem is statistically significant. We can set up a two-sample proportion hypothesis test with the following:
H0: p1 - p2 = 0 (there is no significant difference between the proportions of men and women who perceive sexual harassment as a major problem)
Ha: p1 - p2 > 0 (women perceive sexual harassment as a major problem more often than men do)
Using a z-test with a significance level of 0.01, we find that the test statistic is z = 5.46, which gives a P-value of less than 0.01. Since the P-value is less than 0.01, we reject the null hypothesis and conclude that women perceive the problem of sexual harassment on the job as much more prevalent than do men with at least 99% confidence. Therefore, our choice is (A).

The Sydney Morning Herald Recently Published an Article Indicating Differences