1 In a test of association of two factors, \(A\) and \(B\), a \(2 \times 2\) contingency table yielded 5.63 for the value of \(\chi ^ { 2 }\) with Yates’ correction.

1. State the null hypothesis and alternative hypothesis for the test.
2. State how Yates' correction is applied, and whether it increases or decreases the value of \(\chi ^ { 2 }\).
3. Carry out the test at the \(2 \frac { 1 } { 2 } \%\) significance level.