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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=0.2;

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

Ho : pA=0.2; pB=0.3; pC=0.2; pD=0.3 Complete the table. Report all answers accurate to three decimal places.

Category Observed Frequency Expected Frequency
A 13
B 35
C 14
D 32

What is the chi-square test-statistic for this data? (2 decimal places) 2= What is the P-Value? (3 decimal places) P-Value = For significance level alpha 0.005, What would be the conclusion of this hypothesis test?

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

Report all answers accurate to three decimal places.

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