Question

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.)

mean standard deviation

(b)

Is the distribution of p̂ approximately normal? Justify your answer.

Since np =   and nq =   are  ---Select--- not both both  greater than 5, the normal approximation  ---Select--- is not is  appropriate.

(c)

What is the probability that the sample proportion p̂ exceeds 82%? (Round your answer to four decimal places.)

(d)

What is the probability that the sample proportion lies between 83% 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.)

Answer 1