Provide an appropriate response.
-When determining the sample size for a desired margin of error, the formula is $\mathrm{n}=\frac{\left[{ }^{\mathrm{z}} \alpha / 2\right]^{2} \cdot \mathrm{\hat{p}\hat{q}}}{\mathrm{E}^{2}}$. 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.

Provide an Appropriate Response n=[zα/2]2⋅p^q^E2\mathrm{n}=\frac{\left[{ }^{\mathrm{z}} \alpha / 2\right]^{2} \cdot \mathrm{\hat{p}\hat{q}}}{\mathrm{E}^{2}}n=E2[zα/2]2⋅p^​q^​​

Provide an Appropriate Response $\mathrm{n}=\frac{\left[{ }^{\mathrm{z}} \alpha / 2\right]^{2} \cdot \mathrm{\hat{p}\hat{q}}}{\mathrm{E}^{2}}$