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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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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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