Which of the Following Is NOT True About Sample Sizes

Which of the following is NOT true about sample sizes?

A) The less sampling error desired,the larger the sample size must be.
B) Samples of more homogeneous populations can be smaller than can samples of more diverse populations.
C) When the researchers expect to find very strong relationships between the variables when they test hypotheses,they will need a smaller sample to detect these relationships than if they expect weaker relationships.
D) For professional studies of the national population in which only a simple description is desired,the minimum sample size required is 2,500.