Question

Describe the sampling distribution of

ModifyingAbove p with caretp.

Assume the size of the population is

30,000.

nequals=1400​,

pequals=0.186

Describe the shape of the sampling distribution of

ModifyingAbove p with caretp.

Choose the correct answer below.

A.The shape of the sampling distribution of

ModifyingAbove p with caretp

is approximately normal because

n less than or equals 0.05Nn ≤0.05N

and np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10.

B.The shape of the sampling distribution of

ModifyingAbove p with caretp

is approximately normal because

n less than or equals 0.05 Upper Nn≤0.05N

and np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<10.

C.The shape of the sampling distribution of

ModifyingAbove p with caretp

is not normal because

n less than or equals 0.05 Upper Nn≤0.05N

and np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10.

D.The shape of the sampling distribution of

ModifyingAbove p with caretp

is not normal because

n less than or equals 0.05 Upper Nn≤0.05N

and np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<10. Determine the mean of the sampling distribution of

ModifyingAbove p with caretp.

mu Subscript ModifyingAbove p with caret Baseline equalsμp=

​(Round to three decimal places as​ needed.)Determine the standard deviation of the sampling distribution of

ModifyingAbove p with caretp.

sigma Subscript ModifyingAbove p with caret Baseline equalsσp=

​(Round to three decimal places as​ needed.)

Answer 1