Question

Given two independent random samples with the following results: n1=469 x1=250 n2=242 x2=95 Can it be...

Given two independent random samples with the following results:

n1=469 x1=250 n2=242 x2=95

Can it be concluded that there is a difference between the two population proportions? Use a significance level of α=0.05 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, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places.

Step 3 of 6: Compute the weighted estimate of p, 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: Find the P-value for the hypothesis test. Round your answer to four decimal places.

Step 6 of 6: Make the decision to reject or fail to reject the null hypothesis.

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