Question

Given two independent random samples with the following results: n1pˆ1=552=0.66   n2pˆ2=462=0.86 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. Step 2 of 5 : Compute the weighted estimate of p, p‾. Round your answer to three decimal places.

Answer 1

Here

Here we have to test that

Pooled proportion:

                 (Round to 3 decimal)

Test statistic:

Where

Test statistic:

z = -7.33                         (Round to 2 decimal)

alpha = level of significance = 0.05

Test is left tail test

Critical value = -1.645                   (From statistical table of z values, average of 1.64 and 1.65)

Here z < critical value

So we reject H0.

Conclusion: The proportion found in Population 2 exceeds the proportion found in Population 1.