Chapter 9, Problem 7CRP

Sampling Distribution $\hat{p}$ Do you have a great deal of confidence in the advice given to you by your medical doctor? About 45% of all adult Americans claim they do have a great deal of confidence in their MDs (Reference: National Opinion Research Center, University of Chicago). Suppose a random sample of n = 32 adults in a health insurance program are asked about their confidence in the medical advice their doctors give.

(a) Is the normal approximation to the proportion $\stackrel{\wedge }{p}=r/n$ valid?

(b) Find the values of ${\mu }_{\hat{p}}$ and ${\sigma }_{\hat{p}}$