A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. A group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the United States. Of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. Assuming W designates women's responses and M designates men's, which of the following are the appropriate null and alternative hypotheses to test the group's claim? A) H₀: π_M - π_W ≤ 0 versus H₁: π_M - π_W 0 B) H₀: π_M - π_W ≥ 0 versus H₁: π_M - π_W

Question

A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. A group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the United States. Of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. Assuming W designates women's responses and M designates men's, which of the following are the appropriate null and alternative hypotheses to test the group's claim? A) H₀: π_M - π_W ≤ 0 versus H₁: π_M - π_W > 0 B) H₀: π_M - π_W ≥ 0 versus H₁: π_M - π_W< 0 C) H₀: π_M - π_W = 0 versus H₁: π_M - π_W ≠ 0 D) H₀: π_M - π_W≠ 0 versus H₁: π_M - π_W = 0

Quizplus · Accepted Answer

The null hypothesis (H0) states that there is no difference between the proportions of men and women who believe that sexual discrimination is a problem, while the alternative hypothesis (H1) states that there is a difference.

A Powerful Women's Group Has Claimed That Men and Women