Use a X² Test to Test the Claim That in the Given

question 36

Essay

Use a X² 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:

Random Variable

A Random Variable is a variable whose possible values are numerical outcomes of a random phenomenon.

Normal Curve

A symmetrical, bell-shaped distribution where most occurrences take place around the mean and probabilities for values taper off as they move away from the mean.

Standard Deviation

A statistic that measures the dispersion or variability of a dataset relative to its mean, used to quantify the amount of variation.

Mean

The average of a set of numbers, calculated by dividing the sum of these numbers by their quantity.