Given two independent random samples with the following results:

n1 = 181 n2 = 430

p1=0.35 p^2 = 0.46

Can it be concluded that the proportion found in Population 2 exceeds the proportion found in Population 1?Use a significance level of =0.01 for the test.

Step 1 of 5:

State the null and alternative hypotheses for the test.

Step 2 of 5:

Compute the weighted estimate of p, p. Round your answer to three decimal places.

Step 3 of 5:

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

Step 4 of 5:

Find the P-value for the hypothesis test. Round your answer to four decimal places.

Step 5 of 5:

Make the decision to reject or fail to reject the null hypothesis.