When determining the sample size for a desired margin of error, the formula is $\mathrm { n } = \frac { [ \mathrm { z } \alpha / 2 ] ^ { 2 } \hat { \mathrm { p }}\hat { \mathrm { q } } } { \mathrm { E } ^ { 2 } }$ . Based on this formula, discuss the fact that sample size is not dependent on the population size; that is, it is not necessary to sample a particular percent of the population.

Question

Quizplus · Accepted Answer

The Answer is As shown in the formula, the appropriate sample size is dependent on the appropriate z score, the sample proportion, and the margin of error, not on N, the population size.

When Determining the Sample Size for a Desired Margin of Error