Which of the following is (are)true regarding the finite population correction fpc)?
A)The numerator is less than the denominator giving a correction value 1.
B)The numerator is less than the denominator giving a correction value
C)Using the fpc, the standard error becomes smaller when corrected.
D)b and c

Question

Which of the following is (are)true regarding the finite population correction fpc)?
A)The numerator is less than the denominator giving a correction value > 1. 
B)The numerator is less than the denominator giving a correction value 
C)Using the fpc, the standard error becomes smaller when corrected. 
D)b and c

Quizplus · Accepted Answer

The finite population correction factor (fpc) adjusts the standard error when sampling without replacement from a finite population. The numerator of the fpc formula is the population size minus the sample size, while the denominator is the population size minus one. Since the population size minus the sample size is always less than the population size minus one, the fpc correction value is always greater than one. This means that the standard error is corrected to be slightly smaller than it would be without using the fpc. Therefore, both B and C are true statements, making the correct answer D.

Which of the Following Is (Are)true Regarding the Finite Population