A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult population. One proposal is to select 20 people; another proposal is to select 180 people. If the study were conducted over and over (selecting different samples of people each time), which one of the following would be true regarding the resulting sample proportions of "yes" responses? A) Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion. B) Different sample proportions would result each time, but for sample size 180 they would be centered (have their mean) at the true population proportion, whereas for sample size 20 they would not. C) Different sample proportions would result each time, but for sample size 20 they would be centered (have their mean) at the true population proportion, whereas for sample size 180 they would not. D) For either sample size, using the same size each time, as long as the sampling is done with replacement, their mean would be 0. E) None of the above is true, since it makes no sense to talk about the mean of sample proportions.
A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult population. One proposal is to select 20 people; another proposal is to select 180 people. If the study were conducted over and over (selecting different samples of people each time), which one of the following would be true regarding the resulting sample proportions of "yes" responses? A) Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion. B) Different sample proportions would result each time, but for sample size 180 they would be centered (have their mean) at the true population proportion, whereas for sample size 20 they would not. C) Different sample proportions would result each time, but for sample size 20 they would be centered (have their mean) at the true population proportion, whereas for sample size 180 they would not. D) For either sample size, using the same size each time, as long as the sampling is done with replacement, their mean would be 0. E) None of the above is true, since it makes no sense to talk about the mean of sample proportions.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult
population. One proposal is to select 20 people; another proposal is to select 180 people.
If the study were conducted over and over (selecting different samples of people each time), which one of the following
would be true regarding the resulting sample proportions of "yes" responses?
A) Different sample proportions would result each time, but for either sample size, they would be centered (have their
mean) at the true population proportion.
B) Different sample proportions would result each time, but for sample size 180 they would be centered (have their mean)
at the true population proportion, whereas for sample size 20 they would not.
C) Different sample proportions would result each time, but for sample size 20 they would be centered (have their mean)
at the true population proportion, whereas for sample size 180 they would not.
D) For either sample size, using the same size each time, as long as the sampling is done with replacement, their mean
would be 0.
E) None of the above is true, since it makes no sense to talk about the mean of sample proportions.
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