The Wall Street Journal Recently Ran an Article Indicating Differences $H_{0}: \pi_{W}-\pi_{M} \leq 0$

The Wall Street Journal recently ran 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?" Some 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?

A) $H_{0}: \pi_{W}-\pi_{M} \leq 0$ versus $H_{1}: \pi_{W}-\pi_{M}>0$
B) $H_{0}: \pi_{W}-\pi_{M}=0$ versus $H_{1}: \pi_{W}-\pi_{M} \neq 0$
C) $H_{0}: \pi_{W}-\pi_{M} \neq 0$ versus $H_{1}: \pi_{W}-\pi_{M}=0$
D) $H_{0}: \pi_{W}-\pi_{M} \geq 0$ versus $H_{1}: \pi_{W}-\pi_{M}<0$

Correct Answer:

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