Answer
$X_0^2=182.174$ with a P-value $\ltα$. Reject the null hypothesis.
There is enough evidence to conclude that health and happiness are related.
Work Step by Step
$H_0:$ health and happiness are not related.
versus
$H_1:$ health and happiness are related.
In MINITAB, enter the given values:
1-C1 = 271, 1-C2 = 261, 1-C3 = 82, 1-C4 = 20
2-C1 = 247, 2-C2 = 567, 2-C3 = 231, 2-C4 = 53
3-C1 = 33, 3-C2 = 103, 3-C3 = 92, 3-C4 = 36
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.
$X_0^2=182.174$ with a P-value $\lt0.001\ltα=0.05$
