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.

= 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.

Question

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.

= 20.77;P-value = 0.0137

= 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.

Quizplus · Accepted Answer

Based on the given contingency table and using a chi-square test of independence, we obtain a test statistic of 20.77 and a P-value of 0.0137. Since the P-value is less than the significance level of 0.05, we reject the null hypothesis of independence and conclude that there is evidence of a relationship between career and retirement age. Therefore, the best choice is D, which states that we reject the null hypothesis and conclude that career and retirement age are related.

Research Is Conducted Regarding the Average Age at Retirement for Four