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

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) $H _ { 0 } : \pi _ { M } - \pi _ { W } \leq 0$ versus $H _ { 1 } : \pi _ { M } - \pi _ { W } > 0$
b) $H _ { 0 } : \pi _ { M } - \pi _ { W } \geq 0$ versus $H _ { 1 } : \pi _ { M } - \pi _ { W } < 0$
c) $H _ { 0 } : \pi _ { M } - \pi _ { W } = 0$ versus $H _ { 1 } : \pi _ { M } - \pi _ { W } \neq 0$
d) $H _ { 0 } : \pi _ { M } - \pi _ { W } \neq 0 \leq 0$ versus $H _ { 1 } : \pi _ { M } - \pi _ { W } = 0$