Question

Select the most appropriate response.

What will happen (other things being equal) if you increase the confidence level for a given confidence interval?

Answer 1

When you increase the confidence level for a given confidence interval, the width of the confidence interval will increase.

Step-by-step explanation:

When you increase the confidence level for a given confidence interval while other things remain equal, the width of the confidence interval will increase.

This is because the confidence level represents the level of certainty or probability that the true population parameter falls within the interval. Increasing the confidence level requires a wider interval to capture a larger range of possible values.

For example, let's say you have a 95% confidence level and a 10% margin of error. If you increase the confidence level to 99%, then the margin of error will also increase, resulting in a wider confidence interval.