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