Suppose a simple random sample of size n=75 is obtained from a population whose size is N=30,000 and whose population proportion with a specified characteristic is p=0.6. Complete parts ​(a) through​ (c) below. Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below.     A. Not normal because n≤0.05N and np(1−p)≥10.   B. Not normal because n≤0.05N and np(1−p)<10.   C. Approximately normal because n≤0.05N and np(1−p)≥10.   D. Approximately normal because n≤0.05N and np(1−p)<10.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose a simple random sample of size
n=75
is obtained from a population whose size is
N=30,000
and whose population proportion with a specified characteristic is
p=0.6.
Complete parts ​(a) through​ (c)
below.
Describe the sampling distribution of
p.
Choose the phrase that best describes the shape of the sampling distribution below.
 
 
A.
Not normal because
n≤0.05N
and np(1−p)≥10.
 
B.
Not normal because
n≤0.05N
and np(1−p)<10.
 
C.
Approximately normal because
n≤0.05N
and np(1−p)≥10.
 
D.
Approximately normal because
n≤0.05N
and np(1−p)<10.
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