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

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

Category Frequency Expected

A 33 37.6

B 14 9.4

C 28 28.2

D 19 18.8

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

2= 2.8

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