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 2106 passenger cars in a particularregion, 240 had only rear license plates. Among 393 commercialtrucks, 58 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 0.05 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 cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate.

A.

H0: p 1 = p 2

H1: p 1 p 2

B.

H0: p 1 =p 2

H1: p 1

C.

H0: p 1

H1: p 1 =p 2

D.

H0: p 1 =p 2

H1: p 1 >p 2

Identify the test statistic. ______. (Round to two decimal places asneeded.)

Identify theP-value. _______ . (Round to three decimal places asneeded.)

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

A.

Reject H0. There 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.

B.

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.

C.

Fail to reject H0. There 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.

D.

Fail to 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. Identify the confidence interval limits for the appropriate confidence interval. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate.

___

(Round to four decimal places asneeded.)

Because the confidence interval limits

do not contain

contain

0, there

is not

is

a significant difference between the two proportions. There

is not

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.