Use a ?² Test to Test the Claim That in the Given

question 16

Essay

Use a ?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. $$\begin{array} { l | r r r } & \text { Rock } & \text { Pop } & \text { Classical } \\\hline 15 - 25 & 50 & 85 & 73 \\25 - 35 & 68 & 91 & 60 \\35 - 45 & 90 & 74 & 77\end{array}$$ Use a 5 percent level of significance to test the null hypothesis that age and preferred music type are independent.

---

Definitions:

Budget Variance

The difference between budgeted amounts and actual amounts spent or received.

Volume Variance

The difference between the expected volume of production or sales and the actual volume, affecting budgeting and costing.

Overhead Variances

The difference between the actual overhead costs incurred and the standard overhead costs expected for the level of activity.

Critical Part

A component or element within a system or machine that is essential for its operation or performance.