Question

If the blogger wanted to create a more narrow confidence interval, at the same sample size, would this require a higher or lower confidence level?

Answer 1

To create a more narrow confidence interval at the same sample size, you would need to reduce the confidence level.

Step-by-step explanation:

The confidence level and the confidence interval are inversely related. In general, if you want to create a more narrow confidence interval at the same sample size, you would need to reduce the confidence level. This means that you would have to be less confident in the accuracy of your estimate, but the interval would be narrower.

For example, if you initially had a 95% confidence level and a confidence interval of (10, 20), you could decrease the confidence level to 90% to create a more narrow interval. The new confidence interval would then be (12, 18).