Question

Decide whether the statement below makes sense​ (or is clearly​ true) or does not make sense​ (or is clearly​ false). Explain.

In my statistical​ study, I used a sample that was larger than the population.

A. Yes, the statement makes sense. A sample can be as large as desired.
B. ​Yes, the statement makes sense. A sample is always larger than the population.
C. ​No, the statement does not make sense. A sample is a subset of the population and cannot be larger than the population.
D. ​No, the statement does not make sense. The sample size should always equal the population size.

Answer 1

Step-by-step explanation:

C. No, the statement does not make sense. A sample is a subset of the population, and it is not possible for the sample size to be larger than the population size. The size of the sample is typically smaller than the population, but it should be large enough to represent the population accurately. The size of the sample should be determined based on the research question, level of confidence desired, and the variability in the population.