Which one of the following statements is true?

A. If you construct a confidence interval to estimate a population mean, the margin of error will get larger as the size of the sample mean increases.

B. The margin of error is affected by the size of the population.

C. The sample statistic (either a mean or a proportion) used to construct the confidence interval will always be right in the center of the confidence interval.

D. The margin of error takes into account all possible things (e.g., both sampling and nonsampling errors) that can go wrong when sampling from a population.

E. If you construct a confidence interval to estimate a population mean, the margin of error will get smaller as the sample standard deviation gets larger.