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: ? _M - ? _W ? 0 versus H₁: ? _M - ? _W 0 B) H₀: ? _M - ? _W ? 0 versus H₁: ? _M - ? _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: ? _M - ? _W ? 0 versus H₁: ? _M - ? _W > 0 B) H₀: ? _M - ? _W ? 0 versus H₁: ? _M - ? _W < 0 C) H₀: ? _M - ? _W = 0 versus H₁: ? _M - ? _W $\neq$ 0 D) H₀: ? _M - ? _W $\neq$ 0 ? 0 versus H₁: ? _M - ? _W = 0

Quizplus · Accepted Answer

The correct null hypothesis (H0) should state there is no difference between the proportions of men and women who believe sexual discrimination is a problem, which is represented by an equality (πM - πW = 0). The alternative hypothesis (H1) should suggest there is a difference, without specifying the direction of the difference (πM - πW ≠ 0). This is a two-tailed test appropriate for exploring whether there's any difference in attitudes between men and women, without assuming which group is more likely to perceive sexual discrimination as a problem.

A Powerful Women's Group Has Claimed That Men and Women ≠\neq=

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