Use software to test the null hypothesis of whether there is a relationship between the two classifications, A and B, of the $3 \times 3$ contingency table shown below. Test using $\alpha = 0.05$. NOTE: You may do this by hand, but it will take a bit of time.

	$B_1$	$B_2$	$B_3$	Total
$A_1$	$48$	$63$	$47$	$158$
$A_2$	$72$	$79$	$61$	$212$
$A_3$	$48$	$69$	$57$	$174$
Total	$168$	$211$	$165$	$544$

(a) $\chi^2 =$

(b) Find the degrees of freedom.

(c) Find the critical value. $\chi^2 =$

(d) The final conclusion is

A. We can reject the null hypothesis that A and B are not related and accept that there seems to be a relationship between A and B.
B. There is not sufficient evidence to reject the null hypothesis that there is no relationship between A and B.