## Answered) 0, 1, 2, 3, 4 Observed.4, 37, 122, 52, 440, 389 Expected.6, 25.4, 152.4, 406.3, 406.

X...0, 1, 2, 3, 4

Observed....4, 37, 122, 52, 440, 389

Expected...1.6, 25.4, 152.4, 406.3, 406.3

DetermineÂ (a) theÂ (x squared) testÂ statistic, (b) the degrees of freedom, (c) the critical value usingÂ aÂ = 0.05,Â and (d) test the hypothesis at the aÂ = 0.05Â level of significance.

H0 :Â The random variable X is binomial withÂ n = 4, p = 0.8

H1 : The random variable X is not binomial withÂ n = 4, p = 0.8

(a) The test statistic is______

(b) There are______degrees of freedom.

(c) The critical value is______

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