Suppose a simple random sample of size n·50isobtained tom a population whose siz

Question

Suppose a simple random sample of size n·50isobtained tom a population whose size is N> 10,000 and whose population proportion with a specified Descilbe the sampling distribution of p Choose the phrase that best describes the shape of the sampling distribution below O A. Not normal because n s0 05N and no(1 p) 10 O B. Approximately nomal because n so 05N and np 1-P)210 OC. Apprainately normal because ns00SN and fp(1-p-10 D. Not normal because ns00SN andngn-n210. 25 26 27 28 29 30 31 32 Learn about State DOLL

Explanation / Answer

To have an approximately normal model we must have that the sample size n is at most 5% of the total population N and n * p (1-p) >= 10. Since both conditions are satisfied 50 is < 0.05 * 10,000 and 50 * 0. 6 * 0.4 >= 10, this is an approximately normal distribution.

Therefore Option B is the correct answer.

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