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 = 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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