Describe the sampling distribution of ModifyingAbove p with caret . Assume the s

Question

Describe the sampling distribution of ModifyingAbove p with caret . Assume the size of the population is 25 comma 000 . nequals 800, pequals 0.5 Choose the phrase that best describes the shape of the sampling distribution of ModifyingAbove p with caret below. A. Approximately normal because n less than or equals 0.05 Upper N and np left parenthesis 1 minus p right parenthesis less than 10. B. 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. 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. 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.

Explanation / Answer

The shape of the sampling distribution is approximately normal since

n <= 0.05N and np(1 - p) >= 10

Option B is correct.

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