Determine whether the statement below makes sense or does not make sense. Explain clearly.   Although a company randomly surveys only a few thousand households out of the millions that own TVs​, they have a good chance of getting an accurate estimate of the proportion of the population watching a particular show.         Question content area bottom Part 1 Choose the correct answer below.     A. The statement does not make sense. The chance of getting an accurate estimate of the proportion is the same as the proportion of the TV viewers surveyed.   B. The statement makes sense. The sample size is large enough for the sample proportion to be the same as the actual population proportion by the Central Limit Theorem.   C. The statement makes sense. The sample size is large enough for the distribution of sample proportions to be nearly​ normal, so individual sample proportions should be clustered around the actual population proportion.   D. The statement does not make sense. The sample size would need to be at least​ 10% of the population to have a good chance of getting an accurate estimate of the proportion

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 26PFA
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Determine whether the statement below makes sense or does not make sense. Explain clearly.
 
Although a company randomly surveys only a few thousand households out of the millions that own
TVs​,
they have a good chance of getting an accurate estimate of the proportion of the population
watching
a
particular
show.
 
 
 
 

Question content area bottom

Part 1
Choose the correct answer below.
 
 
A.
The statement does not make sense. The chance of getting an accurate estimate of the proportion is the same as the proportion of the
TV viewers
surveyed.
 
B.
The statement makes sense. The sample size is large enough for the sample proportion to be the same as the actual population proportion by the Central Limit Theorem.
 
C.
The statement makes sense. The sample size is large enough for the distribution of sample proportions to be nearly​ normal, so individual sample proportions should be clustered around the actual population proportion.
 
D.
The statement does not make sense. The sample size would need to be at least​ 10% of the population to have a good chance of getting an accurate estimate of the proportion
 
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