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

Independent random samples were selected from two binomial populations. The sizes and number of observed successes for each sample are shown in the following table.
Sample 1 Sample 2
n1 = 200..................... n2 = 200
n1 = 110..................... x2 = 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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