Question

Test the given claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and then state the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Among 20072007 passenger cars in a particular​ region, 231231 had only rear license plates. Among 332332 commercial​ trucks, 5050 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.010.01 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. a. Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger carspassenger cars and population 2 correspond to the commercial truckscommercial trucks. Let a success be a vehicle that only has a rear license plate. A. Upper H 0H0​: p 1p1equals=p 2p2 Upper H 1H1​: p 1p1less than

p 2p2 C. Upper H 0H0​: p 1p1less than

Answer 1

(A) Claim:- commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars

this means that claim is p2 > p1

(B) using TI 84 calculator

press stat then tests then 2-PropZtest

enter the data

x1 = 231

n1 = 2007

x2 = 50

n2 = 332

p1 < p2

press enter, we get

z statistic = -1.843

p value = 0.0327

p value is greater than 0.01 significance level, so we failed to reject the null hypothesis

therefore, there is insufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars