A random sample of married men all retired, were classified according to their educational level and number of children as shown in the table below. The idea is to determine if the size of a family is independent on the level of education attained by the father.
There two values in each cell. The number, not in parenthesis, represents the observed value: Oij, whereas the number in parenthesis represents the expected value corresponding to each observation, that is, eij. For example in cell #1, 14 is the observed value whereas 18.7 is the expected value.
|
|
Number of Children
|
|
|
Education level
|
0-1
|
2-3
|
over 4
|
|
|
Elementary
|
14
|
37
|
32
|
83
|
|
Secondary
|
19
|
42
|
17
|
78
|
|
College
|
12
|
17
|
10
|
39
|
|
|
45
|
96
|
59
|
200
|
Perform a contingency analysis on the data to determine if there is any dependency between the number of level of education attained by the father and the size of his family. Use α = 0.05?
H0: H1:
Critical Region: =
Test Statistics: =
Degrees of Freedom (DF): =
Decision: Reject/Do not Reject H0