You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho : pA=0.4;  pB=0.15;  pC=0.15;  pD=0.3 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 45   B 27   C 14   D 25   What is the chi-square test-statistic for this data? (2 decimal places) χ2= What is the P-Value? (3 decimal places) P-Value =  For significance level alpha 0.01, What would be the conclusion of this hypothesis test? Fail to reject the Null Hypothesis Reject the Null Hypothesis

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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:

Ho : pA=0.4;  pB=0.15;  pC=0.15;  pD=0.3
Complete the table. Report all answers accurate to three decimal places.

Category Observed
Frequency
Expected
Frequency
A 45  
B 27  
C 14  
D 25  



What is the chi-square test-statistic for this data? (2 decimal places)
χ2=

What is the P-Value? (3 decimal places)
P-Value = 


For significance level alpha 0.01,
What would be the conclusion of this hypothesis test?

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