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

When the level of confidence and sample proportion remain the same, the width of the confidence interval for a population proportion primarily depends on the sample size (larger sample size leads to a narrower interval). Therefore, a confidence interval for p based on a sample of n = 400 will be narrower than a confidence interval based on a sample of n = 100.

When the Level of Confidence and Sample Proportion Remain