Use A $X^2$ Test to Test the Claim That in the Given Contingency

question 22

Essay

Use a $X^2$
test to test the claim that in the given contingency table, the row variable and the
column variable are independent. The table below shows the age and favorite type of music of
668 randomly selected people. $$\begin{array} { c | c c c } & \text { Rock } & \text { Pop } & \text { Classical } \\\hline \mathbf { 1 5 - 2 5 } & 50 & 85 & 73 \\\mathbf { 2 5 - 3 5 } & 68 & 91 & 60 \\\text { 35-45 } & 90 & 74 & 77\end{array}$$ Use a 5 percent level of significance to test the null hypothesis that age and preferred
music type are independent.

---

Definitions:

Extrinsic Motivation

Motivation that is driven by external rewards such as money, fame, grades, and praise.

Intrinsic Motivation

Intrinsic Motivation is the internal drive to engage in activities for their own sake, for the pleasure and satisfaction derived from participation, rather than for some separable consequence.

Mastery Goal

An orientation towards learning, where the focus is on gaining new knowledge or mastering a new skill, rather than on demonstrating superior performance compared to others.

Psychological Needs

Fundamental human requirements that are essential for mental well-being, such as the need for love, esteem, and self-actualization.