Patient preference. Exercise 16.2 stated that seven of eight patients expressed a preference for a particular medical procedure. Use an exact procedure to calculate a 95% confidence interval for p.

1. What is the sample size needed to estimate p with a given margin of error?
2. What is the sample size needed to test a proportion for significance at a stated α-level with given power?
3. What is the power of a significance test of a proportion given a stated sample size and α-level?