You are conducting a multinomial Goodness of Fit hypothesis test for the claim t

Question

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:

HoHo : pA=0.3pA=0.3; pB=0.4pB=0.4; pC=0.15pC=0.15; pD=0.15pD=0.15

Complete the table. Report all answers accurate to three decimal places.

What is the chi-square test-statistic for this data?
?2=

What is the P-Value?
P-Value =

For significance level alpha 0.025,

What would be the conclusion of this hypothesis test?

a)Reject the Null Hypothesis

b)Fail to reject the Null Hypothesis

Category Observed
Frequency Expected
Frequency A 30 B 67 C 42 D 18

Explanation / Answer

Ans:

Chi square test statistic=22.252

df=4-1=3

p-value=CHIDIST(22.252,3)=0.000

As,p-value<0.025,Reject the Null Hypothesis.

Category Observed Expected (O-E)^2/E A 30 47.100 6.208 B 67 62.800 0.281 C 42 23.550 14.454 D 18 23.550 1.308 Total 157 157 22.252

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