Question

I am supposed to give an equal number of grades to each letter value. Based on the sample data in the Grades tab, can we reject the claim that my grades are equally distributed?

Select one: a. Yes, the chi value of 17.5 is greater than chi critical of 9.5. b. No, the chi value of 17.5 is greater than chi critical of 9.5. c. Yes, the p value is high enough to reject that claim. d. No, the sample is too small and there are not enough different grade categories.

Background Info:

	A	B	C	D	F
Actual Grades	20	10	35	15	20
Expected	20	20	20	20	20

Answer 1

applying chi square test:

	relative	observed	Expected	residual	Chi square
category	frequency	Oi	Ei=total*p	R2i=(Oi-Ei)/√Ei	R2i=(Oi-Ei)2/Ei
A	0.200	20	20.00	0.00	0.000
B	0.200	10	20.00	-2.24	5.000
C	0.200	35	20.00	3.35	11.250
D	0.200	15	20.00	-1.12	1.250
F	0.200	20	20.00	0.00	0.000
total	1.000	100	100		17.500

a. Yes, the chi value of 17.5 is greater than chi critical of 9.5.