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AP® Statistics

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Part $2$: Which Interval is Wider?

APSTAT-LNVNK4

A group of students has collected data from a random sample. They need to decide between a $90\%$ confidence interval or a $99\%$ confidence interval.

How will these intervals differ?

A

To determine which confidence interval will be wider, we need to know the sample size.

B

To determine which confidence interval will be wider, we need to know whether we used a $z$-statistics or a $t$-statistic.

C

The $90\%$ confidence interval and $99\%$ confidence interval will be the same length, as they are both from the same random sample.

D

The $90\%$ confidence interval will be wider than the $99\%$ confidence interval.

E

The $99\%$ confidence interval will be wider than the $90\%$ confidence interval.