Question

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?

Answer 1

Answer:

$H_0: \pi_W-\pi_M=0\\\\H_a:\pi_W-\pi_M> 0$

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.

Then, the alternative hypothesis will state that the women proportion pW is significantly bigger than the proportion of men pM.

On the contrary, the null hypothesis will state that the proportion pW is nos significanlty bigger than pM.

Then, the null and alternative hypothesis can be written as:

$H_0: \pi_W-\pi_M=0\\\\H_a:\pi_W-\pi_M> 0$