Question

The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 700 employed persons and 300 unemployed persons are independently and randomly selected and that 500 of the employed persons and 200 of the unemployed persons have registered to vote. Can we conclude that the percentage of the employed workers (p1), who have registered to vote, exceeds the percentage of unemployed workers (p2), who have registered to vote?

What is the null hypothesis?

What is the estimated proportion of unemployed people who are registered to vote; that is, what is p-hat 2?

If the significance level is 0.1, what is the critical z-value?

Assume that the calculated test statistic is 2.02 (use this value even if you found another value in your calculations). Then, what is the conclusion to the hypothesis test? Use the critical z-value from Question 3.

Answer 1