Answer :

The 99%t confidence interval level will be the widest for a particular data set that that includes exactly 500 cases.

A confidence interval refers to a range of estimates for an unknown parameter and is computed at a designated confidence level. The confidence level indicates the percentage it can be expected to approximately obtain the same estimate if the experiment is run repeatedly, or population is resampled in the same way. The confidence interval comprises of the upper and lower bounds of the estimate expected to find at a given level of confidence. The confidence interval level of 95% is most common, but other levels, such as 90% or 99%, are sometimes used. A 99% confidence interval will be wider than a 95% confidence interval as in order to achieve higher confidence that the true population value lies within the interval it is needed to allow more potential values within the interval.

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