Chapter 5.2, Problem 5.51E

(a)

To determine

To find out what is the value of the sample proportion $\widehat{p}$ who have received personal message online from people they don’t know and explain in words what population parameter $p$ is in this setting.

Answer to Problem 5.51E

  $\widehat{p}\approx 69\%$

Explanation of Solution

The sample proportion is;

  $\widehat{p}=\frac{742}{1070}\approx 69\%$

The population parameter is the true proportion of teens who have received messages from people they do not know.

(b)

To determine

To make a confidence statement about the parameter $p$ .

Explanation of Solution

We are $\text{95\%}$ confidence that the true population proportion of teens who have received messages from people they do not know is between $66\%\text{ and 72\%}$ .