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 1 Sample 2 n1 = 200 n2 = 200 x1 = 70 x2 = 90

a. Test H0: 1p1 - p22 = 0 against Ha: 1p1 - p22 6 0.

Use a = .10. LO3

b. Form a 95% confidence interval for 1p1 - p22.

c. What sample sizes would be required if we wish to use a 95% confidence interval of width .01 to estimate 1p1 - p22?

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