In: Statistics and Probability
The proportion of individuals with an Rh-positive blood type is 84%. You have a random sample of n = 500 individuals.
(a)
What are the mean and standard deviation of p̂, the sample proportion with Rh-positive blood type? (Round your standard deviation to four decimal places.)
(b)
Is the distribution of p̂ approximately normal? Justify your answer.
(c)
What is the probability that the sample proportion p̂ exceeds 80%? (Round your answer to four decimal places.)
(d)
What is the probability that the sample proportion lies between 81% and 86%? (Round your answer to four decimal places.)
(e)
99% of the time, the sample proportion would lie between what two limits? (Round your answers to three decimal places.)