Find the Value of The $\chi ^ { 2 }$ Test Statistic for a Hypothesis Test of Independence

question 35

Multiple Choice

Find the value of the $\chi ^ { 2 }$ test statistic for a hypothesis test of independence. Round your answer to 3 decimal places.
-Responses to a survey question are broken down according to employment status and the sample results are
Given below. $$\begin{array} { l | r c c } & \text { Yes } & \text { No } & \text { Undecided } \\\hline \text { Employed } & 30 & 15 & 5 \\\text { Unemployed } & 20 & 25 & 10\end{array}$$

• A)5.991
• B)5.492
• C)0.051
• D)5.942

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Definitions:

Low-margin Items

Products or services that generate a minimal profit margin, often sold to attract customers or achieve volume sales.

Contribution Margin Ratio

A financial metric indicating the portion of sales revenue that is not consumed by variable costs and therefore contributes to covering fixed costs.

Unit Contribution Margin

The difference between the selling price per unit and the variable cost per unit.

Break-even Point

The level of production or sales volume at which total revenues equal total costs, resulting in no net profit or loss.