A Company Wants to Determine If Its Employees Have Any $\chi ^ { 2 }$

question 27

Multiple Choice

A company wants to determine if its employees have any preference among 5 different health plans which it offers to them. A sample of 200 employees provided the data below. Calculate the chi -square test statistic $\chi ^ { 2 }$ to test the claim that the probabilities show no preference. Use $\alpha = 0.01$ .
$\begin{array}{l|cllll}\text { Plan } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Employees } & 18 & 65 & 32 & 30 & 55\end{array}$

• A) \(37.45\)
• B) \(45.91\)
• C) \(48.91\)
• D) \(55.63\)

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Definitions:

Anhedonia

The inability to feel pleasure in normally pleasurable activities, often a symptom of depression or other mental health disorders.

Psychomotor Retardation

A slowing-down of thought and a reduction of physical movements in an individual, often observed in major depressive disorders.

Guilty Ruminations

Obsessive thoughts focused on guilt over actions taken or not taken, often contributing to emotional distress.

Genetic Transmission

Refers to the process by which genes are passed from parents to offspring, determining certain characteristics of the individual.