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

question 16

Essay

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.
$\begin{array} { r | c c c } & \text { Live with Parent } & \text { Rent Apartment } & \text { Own Home } \\\hline \text { Male } & 20 & 26 & 19 \\\text { Female } & 18 & 28 & 30\end{array}$

---

Definitions:

Islam

A monotheistic Abrahamic religion founded in the 7th century based on the Quran, believed by its followers to be the word of God as conveyed by the Prophet Muhammad.

Ethnocentrism

The belief in the superiority of one's own ethnic group or culture, often resulting in prejudice towards other groups.

Semiotics

The study of signs and symbols and their use or interpretation.

Culture

A society’s unique set of values and norms that govern how people live and interact with each other.