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Use A χ2\chi ^ { 2 } Test to Test the Claim That in the Given Contingency

question 31

Essay

Use a χ2\chi ^ { 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.
 Rock  Pop  Classical 15255085732535689160 35-45 907477\begin{array}{c|ccc} & \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:

Accounts Receivable Balance

The accounts receivable balance represents the total amount of money owed to a company by its customers for goods or services rendered but not yet paid for.

Inventory Period

The time it takes to acquire and sell inventory.

Operating Cycle

The duration between the acquisition of inventory by a company and the receipt of cash from accounts receivable, indicating how quickly a company turns over inventory and collects debts.

Incremental Cash Flow

The additional cash flow an organization receives from taking on a new project.

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