A Survey of Students at a College Was Asked If $\alpha = 0.05$

question 51

Multiple Choice

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.
$\begin{array}{r|lll} & \text { Live with Parent } & \text { Rent Apartment } & \text { Own Home } \\\hline \text { Male } & 20 & 26 & 19 \\\text { Female } & 18 & 28 & 26\end{array}$

• 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.

---

Definitions:

Personality Traits

Enduring characteristics that describe an individual's behavior consistently across situations, such as extraversion or neuroticism.

Identical Twins

Twins who develop from a single fertilized egg that splits and forms two embryos, sharing 100% of their genes.

Environmental Influences

The impacts of the surrounding environment, including social, physical, and cultural factors, on an individual's behavior and development.

Fraternal Twins

Also known as dizygotic twins, are siblings that develop from two separate eggs fertilized by two different sperm cells, but are born at the same time.