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Given the Contingency Table Shown Here, Does the Decision to Retire

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Given the contingency table shown here, does the decision to retire appear independent of the employee type? Survey question: Do you plan on retiring or keep working when you turn 65?  Employee  Retire (R)  Work (W)  Total  Management (M) 131831 Line worker (L) 395493 Total 5272124\begin{array} { | l | c | c | c | } \hline\text { Employee } & \text { Retire } ( R ) & \text { Work } ( W ) & \text { Total }\\\hline \text { Management } ( M ) & 13 & 18 &31 \\\hline \text { Line worker } ( L ) & 39 & 54 & 93 \\\hline \text { Total } & 52 & 72 & 124\\\hline\end{array}


Definitions:

Bystander Effect

A social psychological phenomenon in which individuals are less likely to offer help to a victim when other people are present, under the assumption that someone else will take action.

Scapegoat Theory

A social psychological concept that suggests individuals or groups are unfairly blamed for problems not of their making.

Mere Exposure Effect

A psychological phenomenon in which repeated exposure to a stimulus increases an individual's preference for that stimulus.

Ingroup Bias

Describes the tendency to favor members of one's own group over those from external groups.

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