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 for a population proportion is inversely related to the square root of the sample size (n), meaning as the sample size increases, the confidence interval becomes narrower, assuming the level of confidence and sample proportion remain constant.

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

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