the wall street journal recently ran an article indicatingdifferences in percept

Question

the wall street journal recently ran an article indicatingdifferences in perception of sexual harassment on the job betweenmen and women. the article claimed that women perceived the problemto be much more prevalent than did the men. one question asked toboth men and women was" do you think sexual harassment is a majorproblem in the american workplace?" 24% of the men and 62% of thewomen responded "yes." the wall street journal created a 99.2%confidence interval for the true difference in proportions andreported it to be -.28 to -.48. what can be said about theproportions with 99.2% reliability? a) the true proportion of all womenexceeds the tru proportion of all men who believe that sezualharassment is a major problem in the american workplace. b) the true proportion of all menexceeds the true proportion of all women who believe that sexualharassment is a major problem in the american workplace. c) the true proportion of all womenequals the tru proportion of all men who believe that sexualharassment is a major problem in the american workplace d) nothing can be said as negativeproportiona re meaningless. the wall street journal recently ran an article indicatingdifferences in perception of sexual harassment on the job betweenmen and women. the article claimed that women perceived the problemto be much more prevalent than did the men. one question asked toboth men and women was" do you think sexual harassment is a majorproblem in the american workplace?" 24% of the men and 62% of thewomen responded "yes." the wall street journal created a 99.2%confidence interval for the true difference in proportions andreported it to be -.28 to -.48. what can be said about theproportions with 99.2% reliability? a) the true proportion of all womenexceeds the tru proportion of all men who believe that sezualharassment is a major problem in the american workplace. b) the true proportion of all menexceeds the true proportion of all women who believe that sexualharassment is a major problem in the american workplace. c) the true proportion of all womenequals the tru proportion of all men who believe that sexualharassment is a major problem in the american workplace d) nothing can be said as negativeproportiona re meaningless.

Explanation / Answer

A. The true proportion of all women exceeds the true proportion of allmen who believe in it. This is because the confidence intervalexcludes 0, which means that the difference is significant. It isnegative because it is calculated as the difference between thepercentage of men and women.

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