43. A public opinion poll is taken a week prior to the election of the state governor. There are two candidates, A and B. A random sample is taken among likely voters, and among those people polled, 724 prefer Candidate A, and 831 prefer Candidate B. a) Find the 95% confidence interval for the percentage of support of Candidate A among likely voters. b) Find the 95% confidence interval for the percentage of support of Candidate B among likely voters. c) Is the difference between the two candidates statistically signifi- cant at this confidence level? Explain.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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43. A public opinion poll is taken a week prior to the election of the state
governor. There are two candidates, A and B. A random sample is
taken among likely voters, and among those people polled, 724 prefer
Candidate A, and 831 prefer Candidate B.
a) Find the 95% confidence interval for the percentage of support of
Candidate A among likely voters.
b) Find the 95% confidence interval for the percentage of support of
Candidate B among likely voters.
c) Is the difference between the two candidates statistically signifi-
cant at this confidence level? Explain.
Transcribed Image Text:43. A public opinion poll is taken a week prior to the election of the state governor. There are two candidates, A and B. A random sample is taken among likely voters, and among those people polled, 724 prefer Candidate A, and 831 prefer Candidate B. a) Find the 95% confidence interval for the percentage of support of Candidate A among likely voters. b) Find the 95% confidence interval for the percentage of support of Candidate B among likely voters. c) Is the difference between the two candidates statistically signifi- cant at this confidence level? Explain.
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