An article 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 205 college graduates.
(a) If p = 0.5, what are the mean value and standard deviation of p?? (Round your answers to four decimal places.)
mean standard deviation If p = 0.6, what are the mean value and standard deviation of p?? (Round your answers to four decimal places.)
mean standard deviation Does p? have approximately a normal distribution in both cases? Explain.
Yes, because in both cases np > 10 and n(1 ? p) > 10.No, because in both cases np < 10 or n(1 ? p) < 10. No, because when p = 0.5, np < 10.No, because when p = 0.6, np < 10.
(b) Calculate P(p? ? 0.6) for p = 0.5. (Round your answer to four decimal places.)
Calculate P(p? ? 0.6) for p = 0.6.