Question

a study was done on the type of automobile owned by women and men the dates are shown at a=.10 is there a relationship between the type of automobile arounf and the gender of the individual

men luxury 15, Large 9, Medsize 49, Small 27

wimen Luxury 9, large6, midsize 62, small 14

Answer 1

null hypothesis:Ho: there is no relationship between the type of automobile and the gender of the individual

Alternate hypothesis:Ha: there is a relationship between the type of automobile and the gender of the individual

degree of freedom(df) =(rows-1)*(columns-1)=

3

for 3 df and 0.1 level of signifcance critical region       χ2=

6.251

Applying chi square test of independence:

Expected	Ei=row total*column total/grand total	Luxury	Large	Midsize	Small	Total
	Men	12.57	7.85	58.12	21.47	100
	Women	11.43	7.15	52.88	19.53	91
	total	24	15	111	41	191
chi square    χ2	=(Oi-Ei)2/Ei	Luxury	Large	Midsize	Small	Total
	Men	0.4717	0.1674	1.4297	1.4267	3.495
	Women	0.5183	0.1840	1.5711	1.5678	3.841
	total	0.990	0.351	3.001	2.995	7.3367

as test statistic X² =7.337 falls in rejection region; we reject null hypothesis

we have sufficient evidence at 0.10 level to conclude that there is a relationship between the type of automobile and the gender of the individual