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 642 employed persons and 745 unemployed persons are independently and randomly selected, and that 376 of the employed persons and 300 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2 ), who have registered to vote? Use a significance level of α=0.1 for the test.

Step 1 of 6: State the null and alternative hypotheses for the test.

Step 2 of 6: Find the values of the two sample proportions, p^1 and p^2. Round your answers to three decimal places.

Step 3 of 6: Compute the weighted estimate of p, p‾. Round your answer to three decimal places.

Step 4 of 6: Compute the value of the test statistic. Round your answer to two decimal places.

Step 5 of 6: Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to two decimal places.

Step 6 of 6: Make the decision for the hypothesis test.

Answer 1

given data are:-

a).hypothesis:-

[ claim ]

b).the sample proportions are:-

c).weighted estimate of p be:-

d). the test statistic be:-

e).z critical value for alpha=0.10, right tailed test be:-

rejection rule be:-

f).decision:-

We reject the null hypothesis. There is enough evidence to conclude that the percentage of employed workers who have registered to vote, exceeds the percentage of unemployed workers .

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