Chapter 11.1, Problem 6E

To determine

To find: The margin of error for the given sample size.

Answer to Problem 6E

The margin of error for the given sample size is $\pm 4.47\%$ .

Explanation of Solution

Given Information:

The given sample size is $500$ .

The margin of error for the given sample size is calculated as,

  $\begin{array}{c}error=\pm \frac{1}{\sqrt{n}}\times 100\\ =\pm \frac{1}{\sqrt{500}}\times 100\\ =\pm 4.47\%\end{array}$

Thus, the margin of error for the given sample size is $\pm 4.47\%$ .