Chapter 5.3, Problem 5.57E

(a)

To determine

To find out the response rate of the survey.

Answer to Problem 5.57E

  $11\%$ .

Explanation of Solution

The response rate of the survey is as;

  $\begin{array}{l}=\frac{1468}{13000}\\ \approx 11\%\end{array}$

(b)

To determine

To find out the margin of error of the survey and find out is your result close to $2.8\%$ claimed.

Answer to Problem 5.57E

  $2.6\%$ .

Explanation of Solution

The margin of error is:

  $\begin{array}{l}\text{ME=}\frac{1}{\sqrt{n}}\\ \text{ME=}\frac{1}{\sqrt{1468}}\approx 2.6\%\end{array}$

This is fairly close to claimed margin of error.

(c)

To determine

To explain is the small margin of error a good measure of the accuracy of the survey’s result or not.

Answer to Problem 5.57E

No, it is not.

Explanation of Solution

No. The margin of error does not account for error such as nonresponse error and response error, which played large roles in causing the discrepancy between the ratios.