Question: Basic Computation: Confidence Interval for p1 2 p2 Consider two independent binomial experiments. In the first one, 40 trials had 10 successes. In the second

Basic Computation: Confidence Interval for p1 2 p2 Consider two independent binomial experiments. In the first one, 40 trials had 10 successes. In the second one, 50 trials had 15 successes.

(a) Check Requirements Is it appropriate to use a normal distribution to approximate the pˆ pˆ 1 2 2 distribution? Explain.

(b) Find a 90% confidence interval for p1 2p2.

(c) Interpretation Based on the confidence interval you computed, can you be 90% confident that p1 is less than p2? Explain.

AppendixLO1

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