Question

Chapter 11 4 students missed a test. Having ridden together, they stated that on the ride in their car had a flat. On the 21) make-up test given to these students, he added the question "which tire was flat?". To test that whether they could guess the identical tire, he asked 40 of his other students to predict the flat tire (data below): Use a significance level to test the claim that the results fit a uniform distribution level. What does it suggest about the likelihood that the students would guess the same tire if they did not have a flat? Tire Number selected Left FrontLeft Rear Right Front Right Rear 15

Answer 1

Ans:

Chi square goodness of fit test:

Total number of observations=11+8+15+8=42

Expected number=42/4=10.5

	fo	fe	(fo-fe)^2/fe
Left front	11	10.5	0.02
Left rear	8	10.5	0.60
Right front	15	10.5	1.93
Right rear	8	10.5	0.60
Total	42	42	3.14

Test statistic:

Chi square=3.14

df=4-1=3

p-value=CHIDIST(3.14,3)=0.3705

Fail to reject the null hypothesis

There is not sufficient evidence to reject the claim that the results fit a uniform distribution level.