A group conducted a poll of 2065 likely voters just prior to an election. The results of the survey indicated that candidate A would receive 46% of the popular vote and candidate B would receive 42% of the popular vote. The margin of error was reported to be 5%. The group reported that the race was too close to call. Use the concept of a confidence interval to explain what this means. What does it mean to say the race was too close to call? (A)Since the difference between the percentages of the popular vote for the candidates is less than the 12% of voters that are undecided, the poll cannot predict the winner. (B) Since the estimated proportions depend on the level of confidence, the candidate predicted to receive the greater percentage of the popular vote changes for different levels of confidence, so the poll cannot predict the winner. (C) Since the poll results do not show that one of the candidates has more than 50% of the popular vote, the poll cannot predict the winner. (D) The margin of error suggests candidate A may receive between 41% and 51% of the popular vote and candidate B may receive between 37% and 47% of the popular vote. Because the poll estimates overlap when accounting for margin of error, the poll cannot predict the winner.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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Question

A group conducted a poll of 2065 likely voters just prior to an election. The results of the survey indicated that candidate A would receive 46% of the popular vote and candidate B would receive 42% of the popular vote. The margin of error was reported to be 5%. The group reported that the race was too close to call. Use the concept of a confidence interval to explain what this means.

What does it mean to say the race was too close to call? (A)Since the difference between the percentages of the popular vote for the candidates is less than the 12% of voters that are undecided, the poll cannot predict the winner.

(B) Since the estimated proportions depend on the level of confidence, the candidate predicted to receive the greater percentage of the popular vote changes for different levels of confidence, so the poll cannot predict the winner.

(C) Since the poll results do not show that one of the candidates has more than 50% of the popular vote, the poll cannot predict the winner.

(D) The margin of error suggests candidate A may receive between 41% and 51% of the popular vote and candidate B may receive between 37% and 47% of the popular vote. Because the poll estimates overlap when accounting for margin of error, the poll cannot predict the winner.