Chapter 8.1, Problem 4E

To determine

To calculate: the sample proportion on the basis of given data

Answer to Problem 4E

  $\widehat{p}=0.1105$

Explanation of Solution

Given:

  $\begin{array}{l}n=\text{Sample size =172}\\ x=\text{Number of success =36}\end{array}$

Formula used:

Sample proportion is number of success divided by the total number of size

  $\widehat{p}=\frac{x}{n}$

Calculation:

  $\begin{array}{c}\widehat{p}=\frac{x}{n}\\ =\frac{19}{172}\\ =0.1105\\ \widehat{p}=11.05\%\end{array}$