Answer
$X_0^2=285.061$ with a P-value $\ltα$
There is enough evidence to conclude that health and education are related.
Work Step by Step
$H_0:$ health and education are not related.
versus
$H_1:$ health and education are related.
In MINITAB, enter the given values:
1-C1 = 72, 1-C2 = 202, 1-C3 = 199, 1-C4 = 62
2-C1 = 465, 2-C2 = 877, 2-C3 = 358, 2-C4 = 108
3-C1 = 80, 3-C2 = 138, 3-C3 = 49, 3-C4 = 11
3-C1 = 229, 3-C2 = 276, 3-C3 = 64, 3-C4 = 12
3-C1 = 130, 3-C2 = 147, 3-C3 = 32, 3-C4 = 2
Select Stat -> Tables -> Chi-Square Test for Association
Select "Summarized data in a two-way table"
In columns containing the table enter: C1 C2 C3 C4
Click OK.
$X_0^2=285.061$ with a P-value $\lt0.001\ltα=0.05$
