Question: Independent random samples were selected from two binomial populations. The size and number of observed successes for each sample are shown in the following table:

Independent random samples were selected from two binomial populations. The size and number of observed successes for each sample are shown in the following table:

Sample 1Sample 2

n1 = 200 .....n2 = 200

x̄1 = 110 ......x̄2 = 130

a. Test H0: (p1 - p2) = 0 against Ha: (p1 - p2) < 0. Use α = .10.

b. Form a 95% confidence interval for (p1 - p2).

c. What sample sizes would be required if we wish to use a 95% confidence interval of width .01 to estimate (p1 - p2)?

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Some preliminary calculations are p x 1 n 1 110200 55 p 2 x 2 n 2 130200 65 p x 1 x 2 n 1 n ... View full answer

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