Question

Given two independent random samples with the following results: n1= 350 n2= 475 pˆ1=0.55 pˆ2=0.68 Can...

Given two independent random samples with the following results:

n1= 350 n2= 475

pˆ1=0.55 pˆ2=0.68

Can it be concluded that the proportion found in Population 2 exceeds the proportion found in Population 1? Use a significance level of α=0.05 for the test.

State the null and alternative hypotheses for the test

Find the values of the two sample proportions, pˆ1 and pˆ2. Round to 3 decimal places

Compute the weighted estimate of p, p‾. Round to 3 decimal places

Compute the value of the test statistic. Round to 2 decimal places

Determine the decision rule for rejecting the null hypothesis H0. Round to 3 decimal places [ (Reject H0 if (t or absolute value of t) is (< or >)   (value) ]

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

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