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

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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. Responses to a survey question are broken down according to employment status and the sample results are given below. At the 0.10 significance level, test the claim that response and employment status are independent.
 Yes  No  Undecided  Employed 30155 Unemployed 202510\begin{array} { r | c c c } & \text { Yes } & \text { No } & \text { Undecided } \\\hline \text { Employed } & 30 & 15 & 5 \\\text { Unemployed } & 20 & 25 & 10\end{array}


Definitions:

Talent Management

The strategic approach to attracting, retaining, and developing skilled individuals to meet organizational needs.

Occupation

A person's job or profession, often characterized by a set of specialized skills, knowledge, and training.

Position Analysis Questionnaire (PAQ)

A standardized job analysis instrument that identifies the job-related components and measures the degree to which they are present in a job.

Abilities Categories

Refers to classifications of various skill sets and competencies that individuals possess or require in different contexts.

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