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

question 22

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. $$\begin{array} { c | c c c } & \text { Rock } & \text { Pop } & \text { Classical } \\\hline \mathbf { 1 5 - 2 5 } & 50 & 85 & 73 \\\mathbf { 2 5 - 3 5 } & 68 & 91 & 60 \\\text { 35-45 } & 90 & 74 & 77\end{array}$$ Use a 5 percent level of significance to test the null hypothesis that age and preferred
music type are independent.

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Definitions:

Default Value

The initial value assigned to a variable or input field before user interaction changes it.

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an entry or item that has been added to a database, spreadsheet, or system for the first time.

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