Given two independent random samples with the following results:

n1=656 x1=223n2=557 x2=297

Can it be concluded that there is a difference between the two population proportions? Use a significance level of=0.02for the test.

• State the null and alternative hypotheses for the test.
• Find the values of the two sample proportions,p^1andp^2. Round your answers to three decimal places.
• Compute the weighted estimate ofp, p. Round your answer to three decimal places.
• Compute the value of the test statistic. Round your answer to two decimal places.
• Determine the decision rule for rejecting the null hypothesisH0. Round the numerical portion of your answer to two decimal places.
• Make the decision for the hypothesis test.