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Part 1

Describe the sampling distribution of

ModifyingAbove p with caretp.

Assume the size of the population is

20 comma 00020,000.

nequals=500500,

pequals=0.30.3

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Part 1

Choose the phrase that best describes the shape of the sampling distribution of

ModifyingAbove p with caretp

below.

A.

Not normal because

n less than or equals 0.05 Upper Nn0.05N

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

B.

Not normal because

n less than or equals 0.05 Upper Nn0.05N

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

C.

Approximately normal because

n less than or equals 0.05 Upper Nn0.05N

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

D.

Approximately normal because

n less than or equals 0.05 Upper Nn0.05N

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

Part 2

Determine the mean of the sampling distribution of

ModifyingAbove p with caretp.

mu Subscript ModifyingAbove p with caret Baseline equalsp=enter your response here

(Round to one decimal place as needed.)

Part 3

Determine the standard deviation of the sampling distribution of

ModifyingAbove p with caretp.

sigma Subscript ModifyingAbove p with caret Baseline equalsp=enter your response here

(Round to three decimal places as needed.)

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