Question

Given two independent random samples with the following results:

n1=653   x1=355      n2=597 x2=201

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, 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

Conclusion : Reject H0.