Answer :

As a result, the width of the confidence interval will rise as the sample size is reduced.

Define confidence interval.

An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability.

Given,

What causes a confidence interval's width to grow?

The confidence interval widens as the confidence level does. The only option to get more accurate population estimates, assuming the confidence level is fixed, is to reduce sampling error. The standard error statistic assesses sampling error.

When sample size is reduced, what happens to the width of the confidence interval?

As a result, the width of the confidence interval will rise as the sample size is reduced.

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