Question

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 p̂ that is based on a random sample of 210 college graduates.

(a) If p = 0.6, what are the mean value and standard deviation of p̂? (Round your answers to four decimal places.)

If p = 0.7, what are the mean value and standard deviation of p̂? (Round your answers to four decimal places.)

(b) Calculate P(p̂ ≥ 0.7) for p = 0.6. (Round your answer to four decimal places.)

Calculate P(p̂ ≥ 0.7) for  p = 0.7.

Answer 1

a) If p = 0.6,

The mean value of is =

The standard deviation of is =

If p = 0.7,

The mean value of is =

The standard deviation of is =

b) If p = 0.6,

Now,

If p = 0.7,

Now,