The Wall Street Journal 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 of both men and women was: "Do you think sexual harassment is a major problem in the American workplace?" 24% of the men compared to 62% of the women responded "Yes." Assuming W designates women's responses and M designates men's,what hypothesis should The Wall Street Journal test in order to show that its claim is true?

Question

Quizplus · Accepted Answer

The hypothesis should state that the proportion of women who perceive sexual harassment as a major problem in the American workplace is significantly higher than the proportion of men who perceive sexual harassment as a major problem in the American workplace. This can be written as:

HS1U1B10S1U1B0: F1F1F1S1- F1F1F10 = p1
HS1U1B11S1U1B0: F1F1F1S1- F1F1F10 = p2
p1 < p2

where HS1U1B10S1U1B0 represents the null hypothesis that there is no difference between the proportions, F1F1F1S1- F1F1F10 represents the sample proportion of women who perceived sexual harassment as a major problem in the American workplace, F1F1F1S1- F1F1F10 represents the sample proportion of men who perceived sexual harassment as a major problem in the American workplace, S1U1B1W represents the number of women surveyed, S1U1B1M represents the number of men surveyed, and p1 and p2 represent the population proportions of women and men, respectively. The alternative hypothesis HS1U1B11S1U1B0 would indicate that the proportion for women is greater than the proportion for men. Therefore, option B is the correct answer.

The Wall Street Journal Recently Published an Article Indicating Differences π\piπ

The Wall Street Journal Recently Published an Article Indicating Differences $\pi$