Question

Question 6: 12 ptsJuan conducted a survey of 550 employees of a company about their favorite pastime. Of these, 169 employeeschose playing games, 233 employees chose swimming. Compare the probability of an employee's choosingplaying games to an employee's choosing swimming.

Answer 1

Given

Survey of 550 employees

169 employees chose playing games

233 employees chose swimming

Compute the percentage of employees who prefers playing games

$\begin{gathered} \frac{\text{Employees who prefers playing games}}{\text{Total number of employees surveyed}}=\frac{169}{550}=0.3072 \\ \\ \text{Convert to percentage} \\ 0.3072\times100\%=30.72\% \\ \\ \text{Rounded off to the nearest percent} \\ 30.72\%\rightarrow31\% \end{gathered}$

Compute the percentage of employees who prefers swimming.

$\begin{gathered} \frac{\text{Employees who prefers swimming}}{\text{Total number of employees surveyed}}=\frac{233}{550}=0.4236 \\ \\ \text{Convert to percentage} \\ 0.4236\times100\%=42.36\% \\ \\ \text{Rounded off to the nearest percent} \\ 42.36\%\rightarrow42\% \end{gathered}$

Therefore, the percentage