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.

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Definitions:

Cross-cultural Research

Studies that explore how cultural factors influence behaviors, attitudes, and perceptions across different societies.

Leadership Behavior

The actions or conduct demonstrated by a leader, influencing the group's activities and direction.

Follower Attitudes

The perceptions, feelings, and behavioral tendencies that individuals who are led by others hold towards their leaders, work, and organizational environment.

Managing Diversity

The practice of recognizing, valuing, and effectively leveraging different cultural, ethnic, gender, and other differences in an organization to achieve a competitive advantage.