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A Company Wants to Determine If Its Employees Have Any x2x ^ { 2 }

question 16

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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 x2x ^ { 2 } to test the claim that the probabilities show no preference. Use α\alpha

=0.01 .
 Plan 12345 Employees 6532185530\begin{array} { l | c l l l l } \text { Plan } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Employees } & 65 & 32 & 18 & 55 & 30\end{array}


Definitions:

Important Characteristics

Essential or significant attributes, qualities, or properties that define or distinguish a person, object, or concept.

Peer Review Process

A critical evaluation by experts in the field of a scholar's research or findings before it is published in an academic journal, ensuring its validity, significance, and originality.

Checks and Balances

A system in government where separate branches are empowered to prevent actions by other branches and are induced to share power.

Competition

A situation in which individuals or groups strive against each other to achieve a goal that cannot be shared.

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