When the level of confidence and sample proportion, , remain the same, a confidence interval for a population proportion, p, based on a sample of n = 100 will be wider than a confidence interval for p based on a sample of n = 400.

Question

When the level of confidence and sample proportion,  , remain the same, a confidence interval for a population proportion, p, based on a sample of n = 100 will be wider than a confidence interval for p based on a sample of n = 400.

Quizplus · Accepted Answer

A larger sample size (400) gives a closer approximation of population parameter and thus a small confidence interval.

When the Level of Confidence and Sample Proportion