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

Ho: pA=0.4;  pB=0.25;  pC=0.1;  pD=0.25

Category Observed frequency Expected Frequency Squared Residual

A 35________________________________________________

B 27________________________________________________

C 30_________________________________________________

D 43________________________________________________

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

χ2= ______________________________

Report all answers accurate to three decimal places.

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