Chapter 5, Problem 5.85RE

(a)

To determine

To explain what is the population for this sample survey.

Answer to Problem 5.85RE

All the adults who use the Internet.

Explanation of Solution

The population is all the adults who use the Internet.

(b)

To determine

To find the margin of error and give a complete confidence statement for a conclusion about the population.

Answer to Problem 5.85RE

  $4.13\%\text{ME}$

Explanation of Solution

The margin of error is:

  $\begin{array}{l}\text{ME=}\frac{1}{\sqrt{n}}\\ \text{ME=}\frac{1}{\sqrt{586}}\approx 4.13\%\end{array}$

Proportion= $\begin{array}{l}=\frac{152}{586}\\ \approx 25.94\%\end{array}$

We are $95\%$ confident that the true proportion of adults who say that internet has made their life better is between $21.81\%\text{ and 30}\text{.07\%}$ .