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 $\alpha$
= 0.05, test the claim that living accommodations are independent of the gender
Of the student. $$\begin{array} { r | l l l }
& \text { Live with Parent } & \text { Rent Apartment } & \text { Own Home } \
\hline \text { Male } & 20 & 26 & 19 \
\text { Female } & 18 & 28 & 26
\end{array}$$
A)Reject the null hypothesis. There is sufficient evident to warrant rejection of the claim that living accommodation and gender are independent.
B)Reject the null hypothesis. There is not sufficient evident to warrant rejection of the claim that living accommodation and gender are independent.
C)Fail to reject the null hypothesis. There is sufficient evident to warrant rejection of the claim that living accommodation and gender are independent.
D)Fail to reject the null hypothesis. There is not sufficient evident to warrant rejection of the claim that living accommodation and gender are independent.

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 $\alpha$
 = 0.05, test the claim that living accommodations are independent of the gender
Of the student. $$\begin{array} { r | l l l } 
& \text { Live with Parent } & \text { Rent Apartment } & \text { Own Home } \
\hline \text { Male } & 20 & 26 & 19 \
\text { Female } & 18 & 28 & 26
\end{array}$$
A)Reject the null hypothesis. There is sufficient evident to warrant rejection of the claim that living accommodation and gender are independent.
B)Reject the null hypothesis. There is not sufficient evident to warrant rejection of the claim that living accommodation and gender are independent.
C)Fail to reject the null hypothesis. There is sufficient evident to warrant rejection of the claim that living accommodation and gender are independent.
D)Fail to reject the null hypothesis. There is not sufficient evident to warrant rejection of the claim that living accommodation and gender are independent.

Quizplus · Accepted Answer

To determine if living accommodations are independent of gender, a chi-square test for independence is used. Without calculating the exact chi-square value and comparing it to the critical value or p-value (since the question doesn't provide all necessary details for these calculations), we cannot directly observe significant differences in the distributions. The choices suggest a decision about the null hypothesis, which claims independence between the two variables. Since we lack evidence of a strong association from the provided information, the most appropriate conclusion is to fail to reject the null hypothesis, indicating that there is not sufficient evidence to claim a dependency between living accommodations and gender.

A Survey of Students at a College Was Asked If α\alphaα

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