Question

suppose you compute a 97% confidence interval. what will happen to the confidence interval if you decrease the confidence level to 92%?
the confidence interval will widen.
the confidence interval will narrow.
the width of the confidence interval will stay the same.

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Explanation:

The width of a confidence interval is directly related to the confidence level. A higher confidence level requires a wider interval to be more certain of capturing the true population parameter. When we decrease the confidence level from 97% to 92%, we are willing to be less certain. So, we can have a narrower interval.

Answer:

The confidence interval will narrow.