. A polling agency surveyed 1,018 randomly selected adults in the United States. Respondents were assigned at random to one of two different versions of a question asking them to estimate the size of Canada's population. Each version is shown below. Version A The population of Australia is about 23 million. How many people do you think live in Canada? Version B The population of the U.S. is about 319 million. How many people do you think live in Canada? The average response from those given version A was about 42 million and the average response from those given version B was about 95 million. The polling agency conducted a large sample test for the difference in two means and calculated a p-value of 0.0004. Assuming that the conditions for inference are met, which of the following is the most appropriate conclusion based on these results? (A) There is convincing statistical evidence that the difference in the question wording makes no difference in how Americans would respond, on average. (B) There is convincing statistical evidence that the difference in the question wording causes a difference in how Americans would respond, on average. (C) There is not convincing statistical evidence to claim that the difference in the question wording causes a difference in how Americans would respond, on average. (D) There is convincing statistical evidence of a difference in how Americans would respond, but we cannot say that the question wording is the cause of this difference. (E) No conclusion can be made since there is such a large difference in the populations of Australia and the U.S.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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. A polling agency surveyed 1,018 randomly selected adults in the United States. Respondents were
assigned at random to one of two different versions of a question asking them to estimate the size of
Canada's population. Each version is shown below.
Version A
The population of Australia is about 23 million. How many people do you think live in Canada?
Version B
The population of the U.S. is about 319 million. How many people do you think live in Canada?
The average response from those given version A was about 42 million and the average response
from those given version B was about 95 million. The polling agency conducted a large sample test
for the difference in two means and calculated a p-value of 0.0004. Assuming that the conditions for
inference are met, which of the following is the most appropriate conclusion based on these results?
(A) There is convincing statistical evidence that the difference in the question wording makes no
difference in how Americans would respond, on average.
(B) There is convincing statistical evidence that the difference in the question wording causes a
difference in how Americans would respond, on average.
(C) There is not convincing statistical evidence to claim that the difference in the question wording
causes a difference in how Americans would respond, on average.
(D) There is convincing statistical evidence of a difference in how Americans would respond, but
we cannot say that the question wording is the cause of this difference.
(E) No conclusion can be made since there is such a large difference in the populations of Australia
and the U.S.
Transcribed Image Text:. A polling agency surveyed 1,018 randomly selected adults in the United States. Respondents were assigned at random to one of two different versions of a question asking them to estimate the size of Canada's population. Each version is shown below. Version A The population of Australia is about 23 million. How many people do you think live in Canada? Version B The population of the U.S. is about 319 million. How many people do you think live in Canada? The average response from those given version A was about 42 million and the average response from those given version B was about 95 million. The polling agency conducted a large sample test for the difference in two means and calculated a p-value of 0.0004. Assuming that the conditions for inference are met, which of the following is the most appropriate conclusion based on these results? (A) There is convincing statistical evidence that the difference in the question wording makes no difference in how Americans would respond, on average. (B) There is convincing statistical evidence that the difference in the question wording causes a difference in how Americans would respond, on average. (C) There is not convincing statistical evidence to claim that the difference in the question wording causes a difference in how Americans would respond, on average. (D) There is convincing statistical evidence of a difference in how Americans would respond, but we cannot say that the question wording is the cause of this difference. (E) No conclusion can be made since there is such a large difference in the populations of Australia and the U.S.
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