The standard error of the sample proportion does not depend on the confidence level.

Question

Quizplus · Accepted Answer

The standard error of the sample proportion is calculated as the square root of (p-hat*(1-p-hat)/n), where p-hat is the sample proportion and n is the sample size. The confidence level only affects the margin of error, which is added or subtracted from the sample proportion to calculate the confidence interval. The formula for the margin of error includes the critical value from the standard normal distribution, which is based on the confidence level. However, this critical value cancels out when calculating the standard error of the sample proportion, so the standard error is not affected by the confidence level.

The Standard Error of the Sample Proportion Does Not Depend