Question

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...

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

Ho: pA=0.3; pB=0.1; pC=0.4; pD=0.2

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

Category Observed
Frequency
Expected
Frequency
A 52
B 34
C 52
D 37



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 0.1,

What would be the conclusion of this hypothesis test?

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


Report all answers accurate to three decimal places.

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