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

H0 : pA=0.3; pB=0.5; pC=0.1; pD=0.1 a) Complete the table below. Give all answers in the table as decimals rounded to4 places after the decimal point, if necessary.

Category	Observed Frequency	Expected Relative Frequency	Expected Frequency	Residual
A	57
B	62
C	14
D	27

b) What is the chi-square test-statistic for this data? Round your answer to 3 decimal places. Test Statistic: 2= c) For a significance of level alpha = 0.05, what is the chi-square critical value? Critical Value: 2= d) What would be the decision of this hypothesis test?

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