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. Find the value of the test
Statistic.
A) Z = - 2.55
B) Z = - 0.85
C) Z = - 1.05
D) Z = - 1.20

Question

Quizplus · Accepted Answer

The correct answer is A.The test statistic is calculated as follows:Z = (p1 - p2) / sqrt(p(1-p)(1/n1 + 1/n2))where p1 is the proportion of men who believe that sexual discrimination is a problem, p2 is the proportion of women who believe that sexual discrimination is a problem, n1 is the sample size of the men, and n2 is the sample size of the women.Plugging in the values from the question, we get:Z = (11/50 - 19/40) / sqrt((11/50 + 19/40)(1 - 11/50 - 19/40)(1/50 + 1/40))= -2.55Therefore, the value of the test statistic is -2.55.

A Powerful Women's Group Has Claimed That Men and Women