You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.2pA=0.2;  pB=0.4pB=0.4;  pC=0.1pC=0.1;  pD=0.3pD=0.3

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You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.2pA=0.2;  pB=0.4pB=0.4;  pC=0.1pC=0.1;  pD=0.3pD=0.3

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

Category Observed
Frequency
Expected
Frequency
Residual
A 19    
B 45    
C 30    
D 40    



What is the chi-square test-statistic for this data?
χ2=χ2= 

For significance level alpha 0.01, what is the chi-square Critical Value?
Critical Value = 

What would be the conclusion of this hypothesis test?

  • Fail to reject the Null Hypothesis
  • Reject the Null Hypothesis
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