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A Powerful Women's Group Has Claimed That Men and Women H0:πMπW0 H_{0}: \pi_{M}-\pi_{W} \neq 0

Question 173

Multiple Choice

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:πMπW0 H_{0}: \pi_{M}-\pi_{W} \neq 0 versus H1:πMπW=0 H_{1}: \pi_{M}-\pi_{W}=0
B) H0:πMπW=0 H_{0}: \pi_{M}-\pi_{W}=0 versus H1:πMπW0 H_{1}: \pi_{M}-\pi_{W} \neq 0
C) H0:πMπW0 H_{0}: \pi_{M}-\pi_{W} \leq 0 versus H1:πMπW>0 H_{1}: \pi_{M}-\pi_{W}>0
D) H0:πMπW0 H_{0}: \pi_{M}-\pi_{W} \geq 0 versus H1:πMπW<0 H_{1}: \pi_{M}-\pi_{W}<0

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