In: Statistics and Probability
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.
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,