Chapter 8, Problem T8.1SPT

To determine

To draw: The conclusion using the provided information.

Answer to Problem T8.1SPT

The option is (b).

Explanation of Solution

Given:

The proportion of people that jog regularly $\left(\widehat{p}\right)$ = 18% = 0.18

Number of people ( n ) = 1600

Margin of error ( E ) = 3% = 0.03

Formula used:

The formula to compute the confidence interval for population proportion is:

  $\widehat{p}\pm E$

Calculation:

The confidence interval can be computed as follows:

  $\begin{array}{c}CI=\widehat{p}\pm E\\ =0.18\pm 0.03\\ =\left(0.15,0.21\right)\end{array}$

Using the above calculations, it could be said the true population proportion of people that jog lies between 15% and 21%.

Hence, the correct option is (b).