Research Is Conducted Regarding the Average Age at Retirement for Four

question 27

Multiple Choice

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.Use a 5% level of significance. $\begin{array}{|l|c|c|c|c|c|}&&\text { age at retirement}\\\hline career& 50-55 & 56-60 & 61-65 & \text { Over } 65 & \text { Total } \\\hline \text { Attorney } & 10 & 40 & 75 & 40 & 165 \\\hline \begin{array}{l}\text { College } \\\text { Professor }\end{array} & 5 & 30 & 80 & 60 & 175 \\\hline \text { Secretary } & 21 & 45 & 63 & 49 & 178 \\\hline \text { Store Clerk } & 18 & 44 & 70 & 50 & 182 \\\hline \text { Total } & 54 & 159 & 288 & 199 & 700 \\\hline\end{array}$ $x ^ { 2 }$ = 20.77; P-value = 0.0137

• A)Do not reject the null hypothesis and conclude that career and retirement age are related.
• B)Reject the null hypothesis and conclude that the age at retirement is uniformly distributed for each career.
• C)Do not reject the null hypothesis and conclude that career and retirement age are independent.
• D)Reject the null hypothesis and conclude that career and retirement age are related.
• E)Reject the null hypothesis and conclude that career and retirement age are independent.