Question

A test of goodness-of-fit for a multinomial distribution where Ho: p1=.2, p2=.5, p3=.3 results in a the x² statistic equals 6.7, at a=.05 you should conclude:

Group of answer choices

A. The sample is uniformly distributed.

B. The sample is normally distributed.

C. There is no evidence against the hypothesized multinomial distribution.

D. There is evidence that the sample does not come from the hypothesized multinomial distribution.

Answer 1

solution Here Ho=P,=0.2, P2=0.5, P3=0.3 Ho multinomial distubution is good-fit of for the given data- Hi multinomial distibution is not good-fit for the given data- Given Test tatutic x²= 6-7 here dif=n-1=3-1=2, L=0.05 Critical value = 5.991 here cal x² = 6-7 >5.991, So reject Ho. There is a evidence that the sample does not come from the hypothesized multinomial distibution