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A newspaper poll found that 52 percent of the respondents in a large random sample of likely voters in a district intend to vote for candidate Smith rather than the opponent. A 95 percent confidence interval for the population proportion was computed to be 0.52+0.04. Based on the confidence interval, which of the following should the newspaper report to its readers? (A) Smith will win because a majority of voters are in favor of Smith. (B) There is a 95% chance that Smith will win. (C) The poll predicts Smith will win, but there is a 5% chance that the prediction is incorrect due to sampling error. (D) With 95% confidence, there is convincing evidence that Smith will win. (E) No prediction about who will win can be made with 95% confidence.

A newspaper poll found that 52 percent of the respondents in a large random sample of likely voters in a district intend to vote for candidate Smith rather than the opponent. A 95 percent confidence interval for the population proportion was computed to be 0.52+0.04. Based on the confidence interval, which of the following should the newspaper report to its readers? (A) Smith will win because a majority of voters are in favor of Smith. (B) There is a 95% chance that Smith will win. (C) The poll predicts Smith will win, but there is a 5% chance that the prediction is incorrect due to sampling error. (D) With 95% confidence, there is convincing evidence that Smith will win. (E) No prediction about who will win can be made with 95% confidence.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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例题8 A newspaper poll found that 52 percent of the respondents in a large random sample of likely voters in a district intend to vote for candidate Smith rather than the opponent. A 95 percent confidence interval for the population proportion was computed to be 0.52±0.04. Based on the confidence interval, which of the following should the newspaper report to its readers? (A) Smith will win because a majority of voters are in favor of Smith. (B) There is a 95% chance that Smith will win. (C) The poll predicts Smith will win, but there is a 5% chance that the prediction is incorrect due to sampling error. (D) With 95% confidence, there is convincing evidence that Smith will win. (E) No prediction about who will win can be made with 95% confidence.
Transcribed Image Text:例题8 A newspaper poll found that 52 percent of the respondents in a large random sample of likely voters in a district intend to vote for candidate Smith rather than the opponent. A 95 percent confidence interval for the population proportion was computed to be 0.52±0.04. Based on the confidence interval, which of the following should the newspaper report to its readers? (A) Smith will win because a majority of voters are in favor of Smith. (B) There is a 95% chance that Smith will win. (C) The poll predicts Smith will win, but there is a 5% chance that the prediction is incorrect due to sampling error. (D) With 95% confidence, there is convincing evidence that Smith will win. (E) No prediction about who will win can be made with 95% confidence.
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