Question

Determine which of the following four population size and sample size combinations would not require
the use of the finite population correction factor in calculating the standard error.
A. N = 1500; n = 300
B. N = 2500; n = 75
C. N = 15,000; n = 1,000
D. N = 150; n = 25


I think that it's A, could you please revise this question.

Answer 1

calculate the percent of sample of each
A. 300/1500=20 percent
B. 75/2500= 3 percent
C. 1000/15000=6 percent
D. 25/150=16 percent
The Finite Population Correction Factor (FPC) is used when you sample without replacement from more than 5% of a finite population. It’s needed because under these circumstances, the Central Limit Theorem doesn’t hold and the standard error of the estimate (e.g. the mean or proportion) will be too big. In basic terms, the FPC captures the difference between sampling with replacement and sampling without replacement.

Answer 2

thanks for the explanation. is there any way you can review my other question?