Question

Construct a confidence interval for p1 - p2 at the given level of confidence. x1 =...

Construct a confidence interval for p1 - p2 at the given level of confidence.

x1 = 356, n1 = 543, x2 = 413, n2 = 589, 99% confidence

The researches are ___% confident the difference between the two population proportions, p1 - p2, is between ____ and ____.

Math   Statistics-And-Probability   
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Answer #1

x1 = 356

n1 = 543

x2 = 413

n2 = 589

We have to construct a 99% confidence interval for the difference between the population proportion.

Formula is

Zc = 2.58

( From z table)

( - 0.0456 - 0.0717 , - 0.0456 + 0.0717) = > ( - 0.1172 , 0.0261)

The researches are 99% confident the difference between the two population proportions, p1 - p2, is between - 0.1172 and 0.0261.

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