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2) Determine
​(a) the chi squaredχ2 test​ statistic,​
(b) the degrees of​ freedom,
​(c) the critical value using alpha equals 0.05α=0.05​, and
​(d) test the hypothesis at the alpha equals 0.05α=0.05 level of significance.
X                  0     1       2            3            4
Observed  1    37   121       441    389
Expected 1.6  25.3  151.9  405.1 405.1
​H0: The random variable X is binomial with n=4​, p=0.8
H1​: The random variable X is not binomial with n=4​, p=0.8