Use A $\chi ^ { 2 }$ Test to Test the Claim That in the Given Contingency

question 7

Essay

Use a $\chi ^ { 2 }$ test to test the claim that in the given contingency table, the row variable and the column variable are independent.
-Responses to a survey question are broken down according to gender and the sample results are given below. At the 0.05 significance level, test the claim that response and gender are independent. $$\begin{array} { r | r r r } & \text { Yes } & \text { No } & \text { Undecided } \\\hline \text { Male } & 25 & 50 & 15 \\\text { Female } & 20 & 30 & 10\end{array}$$

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Definitions:

Appetite

A natural desire to satisfy a bodily need, especially for food, influenced by psychological and physiological mechanisms.

Mood Regulation

Mood regulation refers to the processes by which individuals influence their own emotional states, aiming to maintain a stable mood or to adjust it in response to their perceived emotional needs.

Gateway Drug

A substance that, when used, may lead to the use of more harmful drugs.

Marijuana

A psychoactive drug from the Cannabis plant used for medical or recreational purposes, known for containing THC among other cannabinoids.