Question

Asked Nov 17, 2019

Suppose a simple random sample of size

nequals=200

is obtained from a population whose size is
Upper N equals 30 comma 000N=30,000

and whose population proportion with a specified characteristic is
p equals 0.6 .p=0.6.

Complete parts (a) through (c)
below.

(a) Describe the sampling distribution of

ModifyingAbove p with caretp.

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

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.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.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.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.Determine the mean of the sampling distribution of

ModifyingAbove p with caretp.

mu Subscript ModifyingAbove p with caret Baseline equalsμp=nothing

(Round to one decimal place as needed.)Step 1

It is given that n is 200, N is 30,000 and p is 0.6.

Step 2

In general, the sampling distribution is approximately normal if n is less than or ...

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