Question

o rating of the vehicle using I responses some high school, high school graduate, some college, and college graduate. Assume the sample data below are for 500 owners who had recently purchased an automobile. Education Quality Rating Average Outstanding Some HS HS Grad Some College College Grad Compute the value of the x test statistie (to 2 decimals). b. Use the overall percentage of average, outstanding, and exceptional ratings to comment upon how new owners rate the quaity of their recently purchased automobiles. 20

Answer 1

applying chi square test:

Observed	Oi	Some HS	HS grad	Some College	Total
	Average	30	30	20	80
	Outstanding	50	40	55	145
	Exceptional	20	30	25	75
	total	100	100	100	300
Expected	Ei=row total*column total/grand total	Some HS	HS grad	Some College	Total
	Average	26.67	26.67	26.67	80
	Outstanding	48.33	48.33	48.33	145
	Exceptional	25.00	25.00	25.00	75
	total	100	100	100	300
chi square    χ2	=(Oi-Ei)2/Ei	Some HS	HS grad	Some College	Total
	Average	0.4167	0.4167	1.6667	2.500
	Outstanding	0.0575	1.4368	0.9195	2.414
	Exceptional	1.0000	1.0000	0.0000	2.000
	total	1.474	2.853	2.586	6.914

from above test statistic X² =6.91

p value =0.1405

Can not conclude that the quantity,,,,,,,

b)

average	26.67%
Outstanding	48.33%
Exceptional	25.00%