The size of the population does need to be considered if sampling is without replacement and the sample size is more than 10% of the population size. In this case, a finite population correction factor is used to adjust the margin of error (the given margin is multiplied by the correction factor). Since this correction factor is always less than 1, the adjusted margin of error is smaller.

Question

The size of the population does need to be considered if sampling is without replacement and the sample size is more than 10% of the population size. In this case, a finite population correction factor  is used to adjust the margin of error (the given margin is multiplied by the correction factor). Since this correction factor is always less than 1, the adjusted margin of error is smaller.

Quizplus · Accepted Answer

This statement is true. When the sample size is more than 10% of the population size and sampling is without replacement, a finite population correction factor is used to adjust the margin of error. The correction factor is always less than 1, which means that the adjusted margin of error is smaller than the unadjusted margin of error.

The Size of the Population Does Need to Be Considered