### Standard error of the sampling distribution of theproportion

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It has been estimated that 17.0% of mutual fund shareholders are retired persons. Assuming the population proportion to be π=0.17 and that a simple random sample of 400 share holders has been selected:

a. What is the expected value pf p = the proportion of those in thesample who are retired?

b. What is the standard error of the sampling distribution of theproportion,p?

c. What is the probability that at least 20% of those in the samplewill be retired ?

d. What is the probability that between 15% and 25% of those in thesample will be retired ?

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