Question: A simple random sample of size n = 200 is obtained from a population whose size is N = 25,000 and whose population proportion with

A simple random sample of size n = 200 is obtained from a population whose size is N = 25,000 and whose population proportion with a speciï¬ed characteristic is p = 0.65.

(a) Describe the sampling distribution of .

(b) What is the probability of obtaining x = 136 or more individuals with the characteristic? That is, what is P( ≥ 0.68)?

(c) What is the probability of obtaining x = 118 or fewer individuals with the characteristic? That is, what is P( ≤ 0.59)?

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