Test of Independence. Compute x^2 subscript 3on3 accurate to two decimals. 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..

1. Test of Independence.
Compute x^2 subscript 3on3 accurate to two decimals.
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.