A group conducted a poll of 2072 likely voters just prior to an election. The re

Question

A group conducted a poll of 2072 likely voters just prior to an election. The results of the survey indicated that candidate A would receive 47% of the popular vote and candidate B would receive 45% of the popular vote The margin of error was reported to be 2%. 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 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 Since the difference between the percentages of the popular vote for the candidates is less than the 8% of voters that are undecided, the poll cannot predict the winner. Since it is within the margin of error for candidate A to receive 45% of the popular vote and for candidate B to receive 47%, or for candidate A to receive 49% of the popular vote and for candidate B to receive 43%, the poll cannot predict the winner B. ° C. D. 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

Explanation / Answer

Here as the margin of error is 2%, therefore it is possible in one case that A gets 47 - 2 = 45% and B gets 45 + 2 = 47% of the votes and similarly, there could be a case when A gets 47 + 2 = 49% and B gets 45 - 2 = 43% of the votes. Therefore there could be a case when A is getting more than B and there could also be a case when B is getting more than A, therefore poll cannot predict the winner in this case.

Therefore C is the correct answer here.

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