A mayoral election race is tightly contested. In a random sample of 1400 likely voters, 742 said that they were planning to vote for the current mayor. Based on this sample, would you claim that the mayor will win a majority of the votes? Explain.

Question

Quizplus · Accepted Answer

The Answer is Yes; in the sample 53% said that they were planning to vote for the current mayor and the margin of error (with 95% confidence)is smaller than 3% (it is 2.7 percentage points)so we can be 95% confident that the mayor will win more than 50% of the votes. The 95% confidence interval for the population proportion lies entirely above 50%.

A Mayoral Election Race Is Tightly Contested