Question: A simple random sample of size n = 150 is obtained from a population whose size is N = 10,000 and whose population proportion with

A simple random sample of size n = 150 is obtained from a population whose size is N = 10,000 and whose population proportion with a specified characteristic is p = 0.6.

(a) Describe the sampling distribution of pn.

(b) What is the probability of obtaining x = 93 or more individuals with the characteristic? That is, what is P1pn Ú 0.622?

(c) What is the probability of obtaining x = 81 or fewer individuals with the characteristic? That is, what is P1pn … 0.542?

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