nequals=75Suppose a simple random sample of sizeis obtained from a population whose size isUpper N equals 15 comma 000N=15,000and whose population proportion with a specified characteristic isp equals 0.4 .p=0.4.Complete parts ​(a) through​ (c)below.​(a) Describe the sampling distribution ofModifyingAbove p with caretp.Choose the phrase that best describes the shape of the sampling distribution below.  A.Approximately normal becausen less than or equals 0.05 Upper Nn≤0.05Nand np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10. B.Not normal becausen less than or equals 0.05 Upper Nn≤0.05Nand np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<10. C.Approximately normal becausen less than or equals 0.05 Upper Nn≤0.05Nand np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<10. D.Not normal becausen less than or equals 0.05 Upper Nn≤0.05Nand np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10.

Question
Asked Nov 17, 2019
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nequals=75
Suppose a simple random sample of size
is obtained from a population whose size is
Upper N equals 15 comma 000N=15,000
and whose population proportion with a specified characteristic is
p equals 0.4 .p=0.4.
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.
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.
 
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 less than 10.np(1−p)<10.
 
D.
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.
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Expert Answer

Step 1

It is given that n is 75, N is 15,000 and p is 0.4.

Step 2

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

0.05N 0.05(15,000)
= 750
пр(1- Р) - 75х 0.4(1 -0.4)
=18
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Image Transcriptionclose

0.05N 0.05(15,000) = 750 пр(1- Р) - 75х 0.4(1 -0.4) =18

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