Suppose a simple random sample of size nequals 150 is obtained from a population

Question

Suppose a simple random sample of size nequals 150 is obtained from a population whose size is Upper N equals 30 comma 000 and whose population proportion with a specified characteristic is p equals 0.4 . (a) Describe the sampling distribution of ModifyingAbove p with caret . Choose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because n less than or equals 0.05 Upper N and np left parenthesis 1 minus p right parenthesis greater than or equals 10. B. Not normal because n less than or equals 0.05 Upper N and np left parenthesis 1 minus p right parenthesis greater than or equals 10. C. Not normal because n less than or equals 0.05 Upper N and np left parenthesis 1 minus p right parenthesis less than 10. D. Approximately normal because n less than or equals 0.05 Upper N and np left parenthesis 1 minus p right parenthesis less than 10.

Explanation / Answer

Option A. Approximately normal because n less than or equals 0.05 Upper N and np left parenthesis 1 minus p right parenthesis greater than or equals 10. is correct option.

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