A group conducted a poll of 2011 likely voters just prior to

A group conducted a poll of 2011 likely voters just prior to an election The results of the survey indicated that candidate would receive 46% of the popular vote and candidate B would receive 45% of the popular vote. The margin of error was reported to be 3%. 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?

Solution

The margin of error is 3%. Thus, candidate A can get 43% to 49% of votes, and candidate B can get 42% to 48% of votes.

Thus, as these two intervals overlap, the poll cannot predict the winner. It is too close to call, because the intervals overlap.

Thus, it is OPTION A. [ANSWER]