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The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age...

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Statistics

The U.S. Census Bureau conducts annual surveys to obtaininformation on the percentage of the voting-age population that isregistered to vote. Suppose that 686 employed persons and 669unemployed persons are independently and randomly selected, andthat 438 of the employed persons and 361 of the unemployed personshave registered to vote. Can we conclude that the percentage ofemployed workers ( p1 ), who have registered to vote, exceeds thepercentage of unemployed workers ( p2 ), who have registered tovote? Use a significance level of α=0.01 for the test.

State the null and alternative hypotheses for the test.

Find the values of the two sample proportions, pˆ1and pˆ2. Roundyour answers to three decimal places.

Compute the weighted estimate of p, ‾p. Round your answer tothree decimal places.

Compute the value of the test statistic. Round your answer totwo decimal places.

Determine the decision rule for rejecting the null hypothesisH0. Round the numerical portion of your answer to threedecimal places.

Make the decision for the hypothesis test.

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