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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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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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