The Sydney Morning Herald recently published 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 Australian workplace?" 24% of the men compared to 62% of the women responded "Yes".
-Suppose that 150 women and 200 men were interviewed.What is the value of the test statistic?

Question

Quizplus · Accepted Answer

To test the hypothesis that the proportion of women who consider sexual harassment a major workplace problem is greater than the proportion of men who feel the same way, we can use a two-sample z-test for proportions. 
The null hypothesis is that there is no difference between the proportions of men and women who consider sexual harassment a major problem. 
The alternative hypothesis is that the proportion for women is greater than the proportion for men. 
The test statistic is calculated as (p1-p2)/sqrt(p(1-p)(1/n1+1/n2)), where p1 is the sample proportion of women who consider sexual harassment a major problem (62%), p2 is the sample proportion of men who feel the same way (24%), and p is the pooled proportion [(p1*n1+p2*n2)/(n1+n2)].
Plugging in the values, we get a test statistic of 7.173.

The Sydney Morning Herald Recently Published an Article Indicating Differences