A multinomial experiment with $k = 3$ cells and $n = 320$ produced the data shown below.

$\ $	Cell 1	Cell 2	Cell 3
$n_i$	$82$	$73$	$165$

If the null hypothesis is $H_0: p_1 = .25, \ p_2 = .25, \ p_3 = .5$ and using $\alpha = 0.05$, then do the following:
(a) Find the expected value of Cell 1.

E(Cell 1) $=$
(b) Find the expected value of Cell 2.

E(Cell 2) $=$
(c) Find the expected value of Cell 3.

E(Cell 3) $=$
(d) Find the test statistic.

$\chi^2 =$
(e) Find the rejection region.

$\chi^2 >$
The final conclustion is
A. We can reject the null hypothesis that $p_1 = .25, \ p_2 = .25, \ p_3 = .5$ and accept that at least one of the multinomial probabilities does not equal its hypothesized value.
B. There is not sufficient evidence to reject the null hypothesis that $p_1 = .25, \ p_2 = .25, \ p_3 = .5$.