From a random sample of potential voters in an upcoming election, 47% indicated they intended to vote for Candidate R. A 95 percent confidence interval was constructed from the sample, and the margin of error for the estimate was 5%. Which of the following is the best interpretation of the interval? A) We are 95% confident that the proportion who intend to vote for Candidate R from the random sample is between 42% and 52%. B) We are 95% confident that the proportion who intend to vote for Candidate R from the population is between 42% and 52%. C) We are 95% confident that the proportion who intend to vote for Candidate R from the random sample is 47%. D) We are 95% confident that the proportion who intend to vote for Candidate R from the population is 47%. E) We are confident that 95% of the population intend to vote for Candidate R.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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From a random sample of potential voters in an upcoming election, 47% indicated they intended to vote for Candidate R. A 95 percent confidence interval was constructed from the sample, and the margin of error for the estimate was 5%.

Which of the following is the best interpretation of the interval?

A) We are 95% confident that the proportion who intend to vote for Candidate R from the random sample is between 42% and 52%.

B) We are 95% confident that the proportion who intend to vote for Candidate R from the population is between 42% and 52%.

C) We are 95% confident that the proportion who intend to vote for Candidate R from the random sample is 47%.

D) We are 95% confident that the proportion who intend to vote for Candidate R from the population is 47%.

E) We are confident that 95% of the population intend to vote for Candidate R.

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