Chapter 11.1, Problem 5E

To determine

To find: The random sample size that would produce a margin of error $\pm 1\%$ .

Answer to Problem 5E

The random sample size that would produce a margin of $\pm 1\%$ is $10000$ .

Explanation of Solution

Given Information:

The given margin of error is $\pm 1\%$ .

The random sample size that would produce a margin of $\pm 1\%$ is calculated as,

  $\begin{array}{l}\pm \frac{1}{\sqrt{n}}=\pm 1\%\\ 0.01\sqrt{n}=1\\ \sqrt{n}=100\\ n=10000\end{array}$

Thus, the random sample size that would produce a margin of $\pm 1\%$ is $10000$ .