A powerful women's group has claimed that men and women differ in...

A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. A group of 50 men and 40 women were asked if thought sexual discrimination was a problem in the US. 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: π_m -  π_w ≤ 0, H1: π_m -  π_{w > 0}

B. H0: π_m -  π_w ≥ 0, H1:  π_m -  π_{w < 0}

C. H0: π_m -  π_w = 0, H1:  π_m -  π_{w ≠ 0}

D. H0: π_m -  π_w  ≠  0, H1:  π_m -  π_{w = 0}