Test of Independence Determine the degree of freedom Observe

Test of Independence

Determine the degree of freedom.

Observed	A	B	C	Total
X	7	18	51	76
Y	18	35	59	112
Z	34	26	52	112
Total	59	79	162	300

Solution

1. expected: contingency table 1 14.9 20.0 41.0 2 22.0 29.5 60.5 3 22.0 29.5 60.5 The test hypothesis is Ho: independent Ha: dependent The test statistic is chi-square = 16.8 degrees of freedom = 4 probability = 0.002 Since the p-value is small, we reject Ho. So we cannot conclude that it is independent.