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.

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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.
 
 
 
 


 
 
 
 
 
 
 
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