Tough statistics question....?

The Wall Street Journal recently ran an article indicating differences in perception of sexual harassment on the job between men and women. The article claimed that women perceived the problem to be much more prevalent than did men. One question asked to both men and women was: "Do you think sexual harassment is a major problem in the American workplace?" Some 24% of the men compared to 62% of the women responded "Yes." Suppose that 150 women and 200 men were interviewed. For a 0.01 level of significance, what is the critical value for the rejection region?





A) 6.635


B) 2.33


C) 7.106


D) 7.173

Tough statistics question....?
Use the formula on the site below. The test statistic is 7.173. The critical z value for a 0.01 one tailed test is 2.33.





This question just asks for the critical rejection value, so that would be 2.33
Reply:Ho: p1 = p2


Ha: p1 %26lt; p2 (one-tailed test)


α = 0.01


Z critical = - 2.33 I guess this is your answer, but in the interest of science, I'll continue:


Z calculated = (0.24 - 0.62)/√(phat(1-phat)(1/200+1/150))


Where phat = (X1+X2)/(n1+n2) = (48+93)/(350) = 0.4029


Z calculated = (-0.38)/√0.0028 = -0.38/0.053 = -7.17


Conclusion: Because -7.17 %26lt; - 2.33 the Ho cannot be accepted and conclude that men don't think it's as much a problem as do women.