A Powerful Women's Group Has Claimed That Men and Women $H _ { 0 } : \pi _ { M } - \pi _ { W } \leq 0 \text { versus } H _ { 1 } : \pi _ { M } - \pi _ { W } > 0$

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) $H _ { 0 } : \pi _ { M } - \pi _ { W } \leq 0 \text { versus } H _ { 1 } : \pi _ { M } - \pi _ { W } > 0$
B) $H _ { 0 } : \pi _ { M } - \pi _ { W } \geq 0 \text { versus } H _ { 1 } : \pi _ { Y } - \pi _ { W } < 0$
C) $H _ { 0 } : \pi _ { M } - \pi _ { W } = 0 \text { versus } H _ { 1 } : \pi _ { M } - \pi _ { W } \neq 0$
D) $H _ { 0 } : \pi _ { M } - \pi _ { W } \neq 0 \leq 0 \text { versus } H _ { 1 } : \pi _ { M } - \pi _ { W } = 0$