Determine (a) the chi-square test statistic, (b) the degrees of freedom, (c) the P-value, and (d) test the hypothesis at the alpha equals 0.05 level of significance.
X 0 1 2 3 4
Observed 11 36 120 438 387
Expected 1.6 25.1 150.8 402.2 402.2
Upper H0: The random variable X is binomial with n=44, p=0.8
H1: The random variable X is not binomial with n=44, p=0.8