Random samples of 200 men all retired were classified accord

Random samples of 200 men, all retired were classified according to education and number of children is as shown below

Education level

Number of children

0-1

2-3

Over 3

Elementary

14

37

32

Secondary and above

31

59

27

Test the hypothesis that the size of the family is independent of the level of education attained by fathers. (Use 5% level of significance)

Solution

H0: the two attributes are independent

H1: the two attributes are dependent.

Since p value is < 0.05, we reject the null hypothesis and conclude that the two attributes are dependent.