Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution:

H0H0 : pA=0.5pA=0.5; pB=0.1pB=0.1; pC=0.1pC=0.1; pD=0.3pD=0.3

Category	Observed Frequency	Expected Frequency
A	44
B	19
C	23
D	35

1. Complete the table for the expected frequencies.
2. What is the chi-square test statistic for this data? Round to three decimal places. 2=2=
3. What is the pp-value? Round to four decimal places. pp-value =
4. Testing the claim at a =0.025=0.025 significance level, what would be the conclusion of this hypothesis test?
   • Reject the Null Hypothesis.
   • Fail to reject the Null Hypothesis.