The Data Below Show the Age and Favorite Type of Music

question 48

Essay

The data below show the age and favorite type of music of 779 randomly selected people.
Test the claim that age and preferred music type are independent. Use $\alpha = 0.05$ $$\begin{array} { l | c c c c } \text { Age } & \text { Country } & \text { Rock } & \text { Pop } & \text { Classical } \\\hline 15 - 21 & 21 & 45 & 90 & 33 \\21 - 30 & 68 & 55 & 42 & 48 \\30 - 40 & 65 & 47 & 31 & 57 \\40 - 50 & 60 & 39 & 25 & 53\end{array}$$

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Definitions:

Selling Price

The amount of money charged for a product or service, or the sum a customer is willing to pay.

Fixed Manufacturing Cost

Expenses that do not change with the volume of production, such as rent, salaries, and insurance costs related to manufacturing facilities.

Relevant Range

The range of activity within which the assumptions about fixed and variable cost behaviors hold true.

Variable Cost

Costs that vary directly with the level of production or service provision, such as materials, labor, and utilities consumed in the production process.