You are conducting a multinomial hypothesis test (o- 0 05) for the claim that al

Question

You are conducting a multinomial hypothesis test (o- 0 05) for the claim that all 5 categories are equally likely to be selected. Complete the table Squared Observed Expected Pearson Category Frequency Frequency Residual A 20 C 11 D 14 E 20 Report all anwers accurate to three decimal places. But retain uasrounded numbers for future calculations What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations) What are the degrees of freedom for this test? df-

Explanation / Answer

Ans:

Total number of observations=20+7+11+14+20=72

Expected frequency=72/5=14.4

Chi square test statistic=8.972

df=5-1=4

Category Observed(fo) Expected(fe) (fo-fe)^2/fe A 20 14.4 2.178 B 7 14.4 3.803 C 11 14.4 0.803 D 14 14.4 0.011 E 20 14.4 2.178 Total 72 72 8.972

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