Chapter 10.3, Problem 15P

Basic Computation: Confidence Inters al for $p_1-p_2$ 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 ${\hat{p}}_1-{\hat{p}}_2$ distribution ? Explain.

(b) Find a 95% confidence interval for $p_1-p_2$.

(c)Interpretation Based on the confidence interval you computed, can you be 95% confident that $p_1$ is more than $p_2$? Explain.