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

question 10

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. The table below shows the age and favorite type of music of 668 randomly selected people. $$\begin{array} { c | c c c } & \text { Rock } & \text { Pop } & \text { Classical } \\\hline \mathbf { 1 5 } - \mathbf { 2 5 } & 50 & 85 & 73 \\\mathbf { 2 5 } - \mathbf { 3 5 } & 68 & 91 & 60 \\\mathbf { 3 5 } - \mathbf { 4 5 } & 90 & 74 & 77\end{array}$$ Use a 5 percent level of significance to test the null hypothesis that age and preferred music type are independent.

Comprehend the foundational elements of an organization, including foundation, direction, and strategies.

Recognize the role and significance of data visualization in achieving marketing objectives.

Identify the various marketing goals an organization can pursue, including social responsibility goals.

Explain the purpose and utility of marketing metrics in measuring the effectiveness of marketing activities.

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Definitions:

Transmitting Thoughts

The process or method by which ideas or mental images are communicated from one individual to another.

Channels

Refers to the methods or pathways through which communication is delivered and received within organizations or systems.

Productive Conversations

are dialogues characterized by effective communication, collaboration, and the achievement of mutual understanding or goals.

Electronic Communication

The transfer of information between individuals or groups through electronic devices such as computers, phones, and the internet.