Describe the sampling distribution of p hat. Assume the size of the population i

Question

Describe the sampling distribution of p hat. Assume the size of the population is 10,000.
n=300 p=0.8

Choose the phrase that best describes the shape of the sampling distribution of p hat below.

a) not normal because n is less than out equal to 0.05N and np(1-p) is greater than or equal to 10.

b) approximately normal because n is less than or equal to 0.05N and np(1-p) is less than 10

c) not normal because n is less than or equal to 0.05N and np(1-p) is less than 10.

d) approximately normal because n is less than or equal to 0.05N and np(1-p) is greater than or equal to 10.

Determine the mean of sampling distribution of p hat.
p hat = ?

Explanation / Answer

option D is correct

d) approximately normal because n is less than or equal to 0.05N and np(1-p) is greater than or equal to 10

also  mean of sampling distribution of p hat =population mean of proportion =0.8

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