31. The director of a marketing department wants to estimate the proportion of people who purchase a certain product online. The director originally planned to obtain a random sample of 2.500 people who purchased the product. However, because of budget concerns, the sample site will be reduced to 1.500 people. Which of the following describes the effect of reducing the number of people in the sample? (A) The variance of the sample will increase (B) The variance of the population will decrease.
(C) The variance of the sampling distribution of the estimator will increase
(D) The variance of the sampling distribution of the estimator will decrease
(E) The variance of the sampling distribution of the estimator will remain the same