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

2162

passenger cars in a particular region,

231

had only rear license plates. Among

378

commercial trucks,

57

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

passengercars

and population 2 correspond to the

commercialtrucks.

Let a success be a vehicle that only has a rear license plate.

A.

H0:

p1

H1:

p1=p2

B.

H0:

p1=p2

H1:

p1>p2

C.

H0:

p1=p2

H1:

p1p2

D.

H0:

p1=p2

H1:

p1

Identify the test statistic.

enter your response here

(Round to two decimal places as needed.)

Identify the P-value.

enter your response here

(Round to three decimal places as needed.)

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

A.

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.

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

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

passengercars

and population 2 correspond to the

commercialtrucks.

Let a success be a vehicle that only has a rear license plate.

enter your response here

(Round to four decimal places as needed.)

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.