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=0.1; pC=0.5; 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	47
B	19
C	54
D	28

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 = 0.1, what is the chi-square critical value? Critical Value: 2=