A survey of students at a college was asked if they lived at home with their parents, rented an apartment, or owned their own home. The results are shown in the table below sorted by gender. At $\alpha = 0.10$, test the claim that living accommodations are independent of the gender of the student.
$\begin{array}{r|ccc}
& \text { Live with Parent } & \text { Rent Apartment } & \text { Own Home } \
\hline \text { Male } & 20 & 26 & 19 \
\text { Female } & 22 & 28 & 26
\end{array}$

Question

A survey of students at a college was asked if they lived at home with their parents, rented an apartment, or owned their own home. The results are shown in the table below sorted by gender. At $\alpha = 0.10$, test the claim that living accommodations are independent of the gender of the student.
$\begin{array}{r|ccc} 
& \text { Live with Parent } & \text { Rent Apartment } & \text { Own Home } \
\hline \text { Male } & 20 & 26 & 19 \
\text { Female } & 22 & 28 & 26
\end{array}$

Quizplus · Accepted Answer

The Answer is

H _ { 0 }

: Living accommodations and gender are independent.

H _ { 1 }

: Living accommodations and gender are dependent.
Test statistic:

\chi ^ { 2 } = 0.4024 . P

-value

= 0.8177

. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that type of
living accommodation and gender are independent.

A Survey of Students at a College Was Asked If α=0.10\alpha = 0.10α=0.10

A Survey of Students at a College Was Asked If $\alpha = 0.10$