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A group conducted a poll o 2028 likely voters just prior to an election. The res

ID: 3244273 • Letter: A

Question

A group conducted a poll o 2028 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. A 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. B. 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. C. 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. D Since it is within the margin of error for candidate A to receive 41% of the popular vote and for candidate B to receive 47% or for candidate A to receive 51% of the popular vote and for candidate B to receive 37%, the poll cannot predict the winner.

Explanation / Answer

ans) D) Since it is within the margin of error for candidate A to receive 41% of the popular vote and for candidate B to receive 47%, or for candidate A to receive 51% of the popular vote and for candidate B to receive 37%, the poll cannot predict the winner.

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