For the population of people in the United States who are at least 18 years of age, approximately 61 percent voted in a recent election. A random sample of 200 people and a random sample of 100 people will be selected from the population. For which sample size is it more likely that greater than 70 percent of the sample voted in the recent election? (A) They are equally likely, because the mean of the sampling distribution is the same for both sample sizes. It is more likely for a sample size of 200 people, because there is more variability in the sampling distribution for larger sample sizes. (B) (D) It is more likely for a sample size of 200 people, because there is less variability in the sampling distribution for larger sample sizes. It is more likely for a sample of size 100 people, because there is more variability in the sampling distribution for smaller sample sizes. It is more likely for a sample size of 100 people, because there is less variability in the sampling distribution for smaller sample sizes.

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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For the population of people in the United States who are at least 18 years of age, approximately 61 percent voted
in a recent election. A random sample of 200 people and a random sample of 100 people will be selected from the
population.
For which sample size is it more likely that greater than 70 percent of the sample voted in the recent election?
(A) They are equally likely, because the mean of the sampling distribution is the same for both sample sizes.
It is more likely for a sample size of 200 people, because there is more variability in the sampling
distribution for larger sample sizes.
(B)
(D)
It is more likely for a sample size of 200 people, because there is less variability in the sampling distribution
for larger sample sizes.
It is more likely for a sample of size 100 people, because there is more variability in the sampling
distribution for smaller sample sizes.
It is more likely for a sample size of 100 people, because there is less variability in the sampling distribution
for smaller sample sizes.
Transcribed Image Text:For the population of people in the United States who are at least 18 years of age, approximately 61 percent voted in a recent election. A random sample of 200 people and a random sample of 100 people will be selected from the population. For which sample size is it more likely that greater than 70 percent of the sample voted in the recent election? (A) They are equally likely, because the mean of the sampling distribution is the same for both sample sizes. It is more likely for a sample size of 200 people, because there is more variability in the sampling distribution for larger sample sizes. (B) (D) It is more likely for a sample size of 200 people, because there is less variability in the sampling distribution for larger sample sizes. It is more likely for a sample of size 100 people, because there is more variability in the sampling distribution for smaller sample sizes. It is more likely for a sample size of 100 people, because there is less variability in the sampling distribution for smaller sample sizes.
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