Determine (a) the x^2 statistic, (b) the degrees of freedom, (c) the critical va

Question

Determine (a) the x^2 statistic, (b) the degrees of freedom, (c) the critical value using alpha = 0.05, 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 (a) The test statistic is (Round to two decimal places as needed.) (b) There are degrees of freedom. (c) The critical value is (Round to three decimal places as needed.) (d) Should the null hypothesis be rejected? A. No. because x^2_0 is less than or equal to x^2_0.05 B. Yes. because x^2_0 is less than or equal to x^2_0.05 C. No. because x^2_0 is greater than x^2_0.05 D. Yes. because x^2_0 is greater than x^2_0.05

Explanation / Answer

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Observed
Expected: Expected

a) Test statistic = 20.06

b) Degrees of freedom = 4

c) Critical value = 9.488

d) Option D

N DF Chi-Square P-value 997 4 20.06336 0.0005

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