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

question 44

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

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Definitions:

Standard Eight-Hour Shift

A traditional work schedule that consists of eight hours of work per day, often used as a benchmark for full-time employment.

Customer Satisfaction

The level of contentment or pleasure a customer derives from the purchase of goods or services and their experience with a company.

Total Quality Management

An organization-wide approach focused on continuous improvement in all aspects of the business, aiming for long-term success through customer satisfaction.

Incremental Change

A gradual, step-by-step approach to change, focusing on small improvements or adjustments rather than radical shifts.