Question

Riley has collected surveys for her final thesis project. One one question, 46.1% of respondents said that conditions were improving. If Riley calculates the margin of error to be 5.63%, what is the maximum value of the confidence interval for this set of survey results?

Answer 1

The maximum value of the confidence interval for this set of survey results is 51.73%.

Explanation:

A confidence interval has two bounds, a lower bound and an upper bound.

These bounds depend on the sample proportion and on the margin of error.

The lower bound is the sample proportion subtracted by the margin of error.

The upper bound is the margin of error added to the sample proportion.

In this question:

Sample proportion: 46.1%

Margin of error: 5.63%.

Maximum value is the upper bound:

46.1+5.63 = 51.73

The maximum value of the confidence interval for this set of survey results is 51.73%.