Research Is Conducted Regarding the Average Age at Retirement for Four

question 71

Essay

Research is conducted regarding the average age at retirement for four career groups.To test whether there is a relationship between age of retirement and career in these groups,700 employees,recently retired,are randomly selected.The resulting data are displayed in the contingency table below. $\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { Age at Retirement }$
$\begin{array}{c}Career&\begin{array}{|l|c|c|c|c|c|}\hline& 50-55 & 56-60 & 61-65 & \text { Over } 65 & \text { Total } \\\hline \text { Attorney } & 10 & 40 & 75 & 40 & 165 \\\hline \begin{array}{l}\text { College } \\\text { Professor }\end{array} & 5 & 30 & 80 & 60 & 175 \\\hline \text { Secretary } & 21 & 45 & 63 & 49 & 178 \\\hline \text { Store Clerk } & 18 & 44 & 70 & 50 & 182 \\\hline \text { Total } & 54 & 159 & 288 & 199 & 700 \\\hline\end{array}\end{array}$ Does the data provide sufficient evidence to conclude that an association exists between age of retirement and career? Use a 5% level of significance.

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Definitions:

Temporal

Pertaining to the temporal bone of the skull, near the temples, and involved in hearing and balance.

Parietal

Relating to or attached to the wall of a cavity or body, such as the parietal bones of the skull or the parietal lobe of the brain.

Sphenoid

A complex bone located at the base of the skull between the frontal and temporal bones, contributing to the structure of the eye socket and the cranial floor.

Cervical Vertebrae

The seven vertebrae forming the upper part of the spine, located in the neck region.