This is my third try and I still do not understand; some answers/ assistance would be greatly appreciated! :)

Question

You are conducting a Goodness of Fit hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table. Report all answers correct to three decimal places.

Category	Observed Frequency	Expected Frequency
A	12
B	8
C	7
D	22
E	15

*****The fourth column is (obs-exp)^2/exp, it just didn't show up.*****

What is the chi-square test-statistic for this data?

χ2= __________

Answer 1

Category Observed Frequency Expected Frequency (O-E)^2/E

A 12 64/5 = 12.8 (12-12.8)^2/12.8 = 0.05

B 8 12.8 (8-12.8)^2/12.8 = 1.8

C 7 12.8 (7-12.8)^2/12.8 = 2.63

D 22 12.8 (22-12.8)^2/12.8 = 6.61

E 15 12.8 (15-12.8)^2/12.8 = 0.38

Total 64 11.47

chi-square = 11.47