Question

7. Perform an appropriate hypothesis test to determine if there is a significant relationship between a student’s race and the punishment received for talking back to teachers in a school district. Be sure to list all your steps and interpret your findings in no more than two sentences.

	In School Suspension	Out of School Suspension	Intermediate Punishment
African-American/Black	19	52	9
Hispanic/Latino	14	39	7
White	9	12	24

Answer 1

Ans:

Chi square test of independence:

Ho:There is no relationship between a student’s race and the punishment received.

H1: There is a relationship between a student’s race and the punishment received.

	Observed(fo)
	In school	out of school	Intermediate	Total
Black	19	52	9	80
Latino	14	39	7	60
white	9	12	24	45
Total	42	103	40	185
	Expected(fe)
	In school	out of school	Intermediate	Total
Black	18.16	44.54	17.30	80
Latino	13.62	33.41	12.97	60
white	10.22	25.05	9.73	45
Total	42	103	40	185
	Chi square=(fo-fe)^2/fe
	In school	out of school	Intermediate	Total
Black	0.039	1.249	3.980	5.268
Latino	0.011	0.937	2.750	3.698
white	0.145	6.802	20.930	27.876
Total	0.194	8.988	27.660	36.842

Test statistic:

Chi square=36.842

df=(3-1)*(3-1)=4

p-value=CHIDIST(36.842,4)=0.000

Reject the null hypothesis and conclude that there is a significant relationship between a student’s race and the punishment received.