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(X)Outcome Observed Expected

0 1 1.6

1 36 25.3

2 121 151.6

3 441 404.3

4 388 404.3

Determine ?(a) the chi squared test? statistic,? (b) the degrees of? freedom, ?(c) the critical value using alpha equals 0.05?, and ?(d) test the hypothesis at the alpha equals 0.05 level of significance.

Upper H 0?: 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

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