Employees of a local university have been classified according to gender and job type. $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Gender }$

$\begin{array} { l c c }
\text { Job } & \text { Male (M) } & \text { Female (F) } \
\text { Faculty (FA) } & 110 & 10 \
\text { Salaried staff (SS) } & 30 & 50 \
\text { Hourly staff (HS) } & 60 & 40
\end{array}$
Are gender and type of job statistically independent?
A)Yes
B)No
$P(M)=P(M \mid F A)$

$\text { Since } P(M)=200 / 300=0.667$

$\text { and } P(M \mid F A)=110 / 120=0.9167$

$0.667 \neq .9167$

Question

Employees of a local university have been classified according to gender and job type. $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Gender }$

$\begin{array} { l c c } 
\text { Job } & \text { Male (M) } & \text { Female (F) } \
\text { Faculty (FA) } & 110 & 10 \
\text { Salaried staff (SS) } & 30 & 50 \
\text { Hourly staff (HS) } & 60 & 40
\end{array}$
Are gender and type of job statistically independent?
A)Yes
B)No
$P(M)=P(M \mid F A)$

$\text { Since } P(M)=200 / 300=0.667$

$\text { and } P(M \mid F A)=110 / 120=0.9167$

$0.667 \neq .9167$

Quizplus · Accepted Answer

The probabilities of male and female employees vary across different job types, indicating that gender and type of job are not independent. Specifically, we can see that the proportion of male employees is much higher among faculty and hourly staff, while the proportion of female employees is higher among salaried staff. Therefore, we reject the null hypothesis of independence and conclude that gender and type of job are statistically dependent.

Employees of a Local University Have Been Classified According to Gender