Question

4 multiple choice 1 point a cable news show displays the results of a poll for a two - candidate runoff election between candidate a and candidate b. the poll shows that candidate a is leading with 53% of the vote. in small print at the bottom of the graphic, it says ± 4.9%. which of these statements is true about this poll? candidate a will win because the mean percentage for the poll is greater than 50%. the poll predicts that between 48.1% and 57.9% of voters will select candidate a in the election. the poll should not be trusted since it has a margin of error attached to it. candidate a cannot get more than 58% of the vote. clear my selection

Explanation:

To determine the correct statement, we analyze the margin of error. The poll shows candidate A has 53% with a margin of error of ±4.9%. To find the range, we calculate 53% - 4.9% = 48.1% and 53% + 4.9% = 57.9%. This means the poll predicts candidate A's support is between 48.1% and 57.9%. The first statement is wrong as a poll is a sample, not a guarantee. The third is wrong because a margin of error is normal and doesn't mean the poll is untrustworthy. The fourth is wrong as the upper bound is 57.9%, but it's possible (though within the margin) to have more, but the range is up to 57.9%, not that they can't exceed 58% in a strict sense, but the second statement correctly gives the range from the margin of error.

Answer:

The poll predicts that between 48.1% and 57.9% of voters will select candidate A in the election.