Answer
$X^2\gt X_α^2$: null hypothesis is rejected.
There is enough evidence to conclude that $X$ and $Y$ are dependent.
Work Step by Step
$X^2=13.053$ (item (a))
$r=2,~c=3$.
So, $d.f.=(r-1)(c-1)=2$
$X_α^2=X_{0.05}^2=5.991$
(According to Table VII, for d.f. = 2 and area to the right of critical value = 0.05)
Since $X^2\gt X_α^2$, we reject the null hypothesis.
