Question

Is there a difference in the car brand's countries for Midwesterners and people from the west coast? Of the 171 randomly selected Midwesterners surveyed 53 had an American car, 98 had a car from Asia, and 20 had a cars from another country. Of the 169 randomly selected people from the west coast who were surveyed, 45 had an American car, 89 had a car from Asia, and 35 had a car from outside of the US and Asia. Conduct the appropriate hypothesis test using an a=0.10 level of significance. a. What is the correct statistical test to use? Goodness-of-Fit Homogeneity O Independence O Paired t-test b. What are the null and alternative hypotheses? HO: The distribution of car brand's countries is the same for Midwesterners and people from the west coast. O Address and car brand's counties are dependent. O Address and car brand's countries are independent. O The distribution of car brand's countries is not the same for Midwesterners and people from the west coast.

Answer 1

a) Correct answer: option (C) Independence

b) Correct answer: option (A) for H0

Correct ansewer: Option (B) for H1

c) From the given data

The observed frequencies are

	American car	Car from asia	Car from another country	Total
Midwesterners	53	98	20	171
West Cost	45	89	35	169
Total	98	187	55	340

The Expected frequencies are

	American car	Car from asia	Car from another country	Total
Midwesterners	49.288	94.050	27.662	171
West Cost	48.712	92.950	27.338	169
Total	98	187	55	340

The chi-square contribution values are

Oi	Ei	(Oi-Ei)^2 /Ei
53	49.288	0.2796
98	94.05	0.1659
20	27.662	2.1223
45	48.712	0.2829
89	92.95	0.1679
35	27.338	2.1474
	Total:	5.166

Degrees of freedom: 2

Test Statistic, X^2: 5.166

d) P-Value: 0.0756

e) since P-value less than (<)   alpha (=0.10 )

f) so we reject H0