Chapter 5.2, Problem 5.40E

To determine

To estimate the margin of error for conclusions about all teenagers and explain how does your result compare with Gallup’s margin of error quotes in Example.

Answer to Problem 5.40E

  $4.467\%$

Explanation of Solution

The margin of error for conclusions about all teenagers is as;

  $\begin{array}{l}\text{ME=}\frac{1}{\sqrt{n}}\\ \text{ME=}\frac{1}{\sqrt{501}}\approx 4.467\%\end{array}$

This is higher than Gallup’s $3\%\text{ ME}$ .