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 Australia.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?

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 Australia.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: $\pi$_W - $\pi$_M $\le$ 0 versus H₁: $\pi$_W - $\pi$_M < 0 B) H₀: $\pi$_W - $\pi$_M $\le$ 0 versus H₁: $\pi$_W - $\pi$_M > 0 C) H₀: $\pi$_W - $\pi$_M = 0 versus H₁: $\pi$_W - $\pi$_M $\neq$ 0 D) H₀: $\pi$_W - $\pi$_M $\ge$ 0 versus H₁: $\pi$_W - $\pi$_M < 0

Quizplus · Accepted Answer

The correct null hypothesis (H0) should state there is no difference between men's and women's attitudes towards sexual discrimination, which is represented by the equality sign (=). The alternative hypothesis (H1) should suggest there is a difference, without specifying the direction of the difference, which is represented by the not equal sign (≠). This is a two-tailed test.

A Powerful Women's Group Has Claimed That Men and Women π\piπ

A Powerful Women's Group Has Claimed That Men and Women $\pi$