Question

Describe the sampling distribution of

ModifyingAbove p with caretp.

Assume the size of the population is

20 comma 00020,000.

nequals=700700​,

pequals=0.2060.206

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 0.05 Upper Nn≤0.05N

and np left parenthesis 1 minus p right parenthesis less than 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 greater than or equals 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=nothing

​(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=nothing

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

Answer 1

(1)

Question:

Describe the shape of the sampling distribution of

Correct option:

B.   The shape of the sampling distribution of is approximately normal because n 0.05N and .np(1−p)10.

(2)

Question:

Determine the mean of the sampling distribution of

(3)

Question:

Determine the standard deviation of the sampling distribution of