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

Question

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

Quizplus · Accepted Answer

The null hypothesis states that there is no difference in attitudes about sexual discrimination between men and women, while the alternative hypothesis states that there is a difference.

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