Question

You are investigating the relationship between the ages of U.S. adults and what aspect of career development they consider to be the most important. You randomly collect the data shown in the contingency table. Is there enough evidence to conclude that the age is related to which aspect of career development is considered to be the most important?

Age	Learning new skills	Pay increases	Career path
18-26 years	29	15	22
27-41 years	27	40	32
42-65	12	25	18

Answer 1

H0: Ages of U.S. adults and aspect of career development are independent.

vs

H1: Ages of U.S. adults and aspect of career development are dependent.

We can use here,

Chi square formula

Expected frequencies = (Row total* Column Total) /Grand Total.

Degree of freedom =(Row-1)*(Column-1) =(3-1)*(3-1)=4

Chi square test statistic value is =10.60

P value is =0.0314 <0.05

Therefore, we reject H0.

Conclusion: We have sufficient evidence at =0.05 to say that,  the age is related to which aspect of career development is considered to be the most important.