When the level of confidence and sample proportion $\hat { p }$
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 $\hat { p }$ 
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

The width of a confidence interval is inversely proportional to the square root of the sample size. Therefore, 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.

When the Level of Confidence and Sample Proportion p^\hat { p }p^​

When the Level of Confidence and Sample Proportion $\hat { p }$