Test the given claim. Identify the nullhypothesis, alternativehypothesis, teststatistic, P-value, and then state the conclusion about the nullhypothesis, as well as the final conclusion that addresses the original claim. Among 2070 passenger cars in a particularregion, 241 had only rear license plates. Among 342 commercialtrucks, 49 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 0.01 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 passengercars and population 2 correspond to the commercialtrucks. Let a success be a vehicle that only has a rear license plate.

A.

H0: p1=p2

H1: p1

B.

H0: p1

H1: p1=p2

C.

H0: p1=p2

H1: p1p2

D.

H0: p1=p2

H1: p1>p2

Identify the test statistic.

Identify theP-value.

State the conclusion about the nullhypothesis, as well as the final conclusion that addresses the original claim.

A.

Reject H0. There is sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

B.

Failtoreject H0. There isnot sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

C.

Failtoreject H0. There is sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

D.

Reject H0. There isnot sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

b. Identify the confidence interval limits for the appropriate confidence interval. Let population 1 correspond to the passengercars and population 2

correspond to the commercialtrucks. Let a success be a vehicle that only has a rear license plate.

_____

Because the confidence interval limits (contain? do not contain?) 0, there (is? is not?)a significant difference between the two proportions.

There (is? is not?) sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.