The article “Thrillers” (Newsweek, April 22, 1985) stated, “Surveys tell us that more than half of America’s college graduates are avid readers of mystery novels.” Let p denote the actual proportion...

The article “Thrillers” (Newsweek, April 22, 1985) stated, “Surveys tell us that more than half of America’s college graduates are avid readers of mystery novels.” Let p denote the actual proportion of college graduates who are avid readers of mystery novels. Consider a sample proportion p ⁄ that is based on a random sample of 225 college graduates.

a. If p = .5, what are the mean value and standard deviation of p ⁄ ? Answer this question for p = .6. Does p ⁄ have approximately a normal distribution in both cases? Explain.