Describe the sampling distribution of ^p. Assume the size of the population is 3

Question

Describe the sampling distribution of ^p. Assume the size of the population is 30,000. n=800 p=0.0.598

A.)The Shape of the sampling distrbution of p is not normal because n<= 0.05N and np(1-p) <10

B.) The Shape of the sampling distrbution of p is not normal because n<= 0.05N and np(1-p) >=10

C.) The Shape of the sampling distrbution of p is approximately normal because n<= 0.05N and np(1-p) <10.

D.) The Shape of the sampling distrbution of p is approximately normal because n<= 0.05N and np(1-p) >=10.

Explanation / Answer

from above both the condition for normal approximation is satisfied.

D.) The Shape of the sampling distrbution of p is approximately normal because n<= 0.05N and np(1-p) >=10.

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