Question

Given two independent random samples with the following results: n1= 706 n2= 741 pˆ1=0.19 pˆ2=0.33 Can...

Given two independent random samples with the following results:

n1= 706 n2= 741

pˆ1=0.19 pˆ2=0.33

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.

1.Find the critical value that should be used in constructing the confidence interval.

2.Find the value of the standard error. Round your answer to three decimal places.

3. Construct the 90% confidence interval. Round your answer to three decimal places.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The statistical software output for this problem is:

Hence,

1. Critical value = 1.96

2. Standard error = 0.023

3. 90% confidence interval:

(-0.177, -0.102)

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