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

question 26

Essay

Use a ?² test to test the claim that in the given contingency table, the row variable and the column variable are independent
-In the chi-square test of independence, the formula used is $\chi ^ { 2 } = \frac { \Sigma ( \mathrm { O } - \mathrm { E } ) ^ { 2 } } { \mathrm { E } }$ . Discuss the meaning of $\mathrm { O }$ and $\mathrm { E }$ and explain the circumstances under which the $\chi ^ { 2 }$ values will be smaller or larger. What is the relationship between a significant $\chi ^ { 2 }$ value and the values of $\mathrm { O }$ and $\mathrm { E }$ ?

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Definitions:

Labor

The employment of human physical and psychological skills in the production process of goods and services.

Capital

Financial assets or the financial value of assets, such as cash and securities, or fixed assets like buildings and machinery, that are used in producing goods or services.

Short-Run

A period of time during which at least one of a firm's inputs is fixed.

Machines

Devices or systems of devices that perform tasks or assist in the performance of tasks, often using mechanical, electrical, or computer-driven components.