What is the most important issue facing the next president? In a January 2016 survey of 1022 adults, the Gallup organization found that Republicans and Democrats agreed on the top four issues, and terrorism was reported as the top challenge by 17 percent of respondents, with a margin of error of plus or minus 4 percentage points at 95 percent confidence level.
There is a 95 percent confidence that between 13 percent and 21 percent of Americans feel that the most important issue facing the next president is terrorism. Increasing the sample size will:
A) result in a wider interval because there'll be more information.
B) result in a wider interval because the margin of error will increase.
C) result in a narrower interval because the margin of error will decrease.
D) result in a narrower interval because the average scores will change.
E) not affect the confidence interval at all.

Question

Quizplus · Accepted Answer

Increasing the sample size will decrease the margin of error, resulting in a narrower interval. This is because a larger sample size reduces the variability in the sample mean and provides a more precise estimate of the population mean.

What Is the Most Important Issue Facing the Next President