Question # 5 [10 pts] The proportion of individuals with an Rh-positive blood type is 85%. You have a random sample of n = 500 individuals. a) What are the mean and standard deviation (standard error) of the sampling distribution of $\hat{p}$, the sample proportion with Rh-positive blood type? b) Is the distribution of $\hat{p}$ approximately normal? Justify your answer. c) What is the probability that the sample proportion $\hat{p}$ lies between 83% and 88%? d) Within what limits would you expect the sample proportion to lie 99% of the time?
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