Determine (a) the $\chi_0^2$ test statistic, (b) the degrees of freedom, (c) the P-value, and (d) test the hypothesis at the $\alpha = 0.05$ level of significance.
$H_0$: The random variable X is binomial with n = 4, p = 0.8
$H_1$: The random variable X is not binomial with n = 4, p = 0.8
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(a) $\chi_0^2$ =
(Round to two decimal places as needed.)
X | 0 | 1 | 2 | 3 | 4
------- | -------- | -------- | -------- | -------- | --------
Observed | 1 | 38 | 122 | 442 | 385
Expected | 1.6 | 25.3 | 151.8 | 404.7 | 404.7