In a pre-election poll for a town's major, 267 people were surveyed. 48% reported that they planned to vote for Candidate A. 47% reported that they planned to vote for Candidate B. A) How many people said they planed to vote for Candidate A? Round to the nearest whole number. B) If the margin of error was 5%, determine the confidence interval (in percentages) for the proportion of people who said they planned to vote for Candidate A? % to % C) How many people said they planed to vote for Candidate B? Round to the nearest whole number. D) If the margin of error was 5%, determine the confidence interval the confidence interval (in percentages) for the proportion of people who said they planned to vote for Candidate B? % to % E) Which conclusion is true in this scenario? We can say that Candidate B will be the clear winner because the confidence intervals do not overlap, and Candidate B's point estimate is higher than Candidate A. We can say that there is no clear winner because the confidence intervals overlap. We can say that Candidate A will be the clear winner because the confidence intervals do not overlap, and Candidate A's point estimate is higher than Candidate B. We can say that there is no clear winner because the confidence intervals do not overlap.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.5: Interpreting Data

Problem 1C

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Related questions

Question

In a pre-election poll for a town's major, 267 people were surveyed.

48% reported that they planned to vote for Candidate A.
47% reported that they planned to vote for Candidate B.

A) How many people said they planed to vote for Candidate A? Round to the nearest whole number.

B) If the margin of error was 5%, determine the confidence interval (in percentages) for the proportion of people who said they planned to vote for Candidate A?

% to %

C) How many people said they planed to vote for Candidate B? Round to the nearest whole number.

D) If the margin of error was 5%, determine the confidence interval the confidence interval (in percentages) for the proportion of people who said they planned to vote for Candidate B?

% to %

E) Which conclusion is true in this scenario?

We can say that Candidate B will be the clear winner because the confidence intervals do not overlap, and Candidate B's point estimate is higher than Candidate A.
We can say that there is no clear winner because the confidence intervals overlap.
We can say that Candidate A will be the clear winner because the confidence intervals do not overlap, and Candidate A's point estimate is higher than Candidate B.
We can say that there is no clear winner because the confidence intervals do not overlap.

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