A survey was conducted in a large city to investigate public opinion on banning the use of trans fats in restaurant cooking. A random sample of 230 city residents with school-age children was selected, and another random sample of 341 city residents without school-age children was also selected. Of those with school-age children, 94 opposed the banning of trans fats, and of those without school-age children, 147 opposed the banning of trans fats. An appropriate hypothesis test was conducted to investigate whether there was a difference between the two groups of residents in their opposition to the banning of trans fats. Is there convincing statistical evidence of a difference between the two population proportions at the significance level of 0.05? (A) Yes, because the sample proportions are different. (B) Yes, because the probability of observing a difference at least as large as the sample difference is greater than 0.05. (C) Yes, because the probability of observing a difference at least as large as the sample difference, if the two population proportions are the same, is less than 0.05. (D) No, because the probability of observing a difference at least as large as the sample difference, if the two population proportions are the same, is greater than 0.05. (E) No, because the probability of observing a difference at least as large as the sample difference is less than 0.05.
A survey was conducted in a large city to investigate public opinion on banning the use of trans fats in restaurant cooking. A random sample of 230 city residents with school-age children was selected, and another random sample of 341 city residents without school-age children was also selected. Of those with school-age children, 94 opposed the banning of trans fats, and of those without school-age children, 147 opposed the banning of trans fats. An appropriate hypothesis test was conducted to investigate whether there was a difference between the two groups of residents in their opposition to the banning of trans fats. Is there convincing statistical evidence of a difference between the two population proportions at the significance level of 0.05? (A) Yes, because the sample proportions are different. (B) Yes, because the probability of observing a difference at least as large as the sample difference is greater than 0.05. (C) Yes, because the probability of observing a difference at least as large as the sample difference, if the two population proportions are the same, is less than 0.05. (D) No, because the probability of observing a difference at least as large as the sample difference, if the two population proportions are the same, is greater than 0.05. (E) No, because the probability of observing a difference at least as large as the sample difference is less than 0.05.
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 survey was conducted in a large city to investigate public opinion on banning the use of trans fats in restaurant
cooking. A random sample of 230 city residents with school-age children was selected, and another random
sample of 341 city residents without school-age children was also selected. Of those with school-age children,
94 opposed the banning of trans fats, and of those without school-age children, 147 opposed the banning of trans
fats. An appropriate hypothesis test was conducted to investigate whether there was a difference between the
two groups of residents in their opposition to the banning of trans fats. Is there convincing statistical evidence of
a difference between the two population proportions at the significance level of 0.05?
(A) Yes, because the sample proportions are different.
(B) Yes, because the probability of observing a difference at least as large as the sample difference is greater
than 0.05.
(C) Yes, because the probability of observing a difference at least as large as the sample difference, if the
two population proportions are the same, is less than 0.05.
(D) No, because the probability of observing a difference at least as large as the sample difference, if the
two population proportions are the same, is greater than 0.05.
(E) No, because the probability of observing a difference at least as large as the sample difference is
less than 0.05.
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