Construct a 95% confidence interval for (p1 - p2) in each of the following situations. a. n1 = 400; p?1 = 0.67; n2 = 400; p?2 = 0.58. b. n1 = 180; p?1 = 0.28; n2 = 250; p?2 = 0.22. c. n1 = 100; p?1 = 0.44; n2 = 120; p?2 = 0.59. a. The 95% confidence interval for (p1 - p2) is ( , ). (Round to three decimal places as needed.) b. The 95% confidence interval for (p1 - p2) is ( , ). (Round to three decimal places as needed.) c. The 95% confidence interval for (p1 - p2) is ( , ). (Round to three decimal places as needed.)
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It is (P1 - P2) ± Z * √[(P1(1 - P1) / n1) + (P2(1 - P2) / n2)], where Z is the Z-score for the desired confidence level. For a 95% confidence interval, Z is approximately 1.96. a. For n1 = 400, P1 = 0.67, n2 = 400, P2 = 0.58, we substitute these values into the Show more…
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