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.     A. 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.   B. 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.   C. 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.   D. 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.)

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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.
 
 
A.
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.
 
B.
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.
 
C.
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.
 
D.
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.)
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