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.
Solution:
Given that..
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