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: πM - πW ≤ 0 versus H1: πM - πW > 0
b) H0: πM - πW ≥ 0 versus H1: πM- πW < 0
c) H0: πM - πW = 0 versus H1: πM - πW ≠ 0
d) H0: πM - πW ≠ 0 versus H1: πM - πW = 0

In this test the critical area of distribution is in two sides and use to test the limit of sample weather sample is grater or less than from the certain limit. This method is used for testing of null hypothesis and statistical significance.

Here the group claimed that men and women are different in attitudes about sexual discrimination.

So the option C is correct.

c) H0: πM - πW = 0 versus H1: πM - πW ≠ 0