Question

Test the given claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and then state...

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

2060

passenger cars in a particular​ region,

237

had only rear license plates. Among

374

commercial​ trucks,

56

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 .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.

Identify the test statistic.

​(Round to two decimal places as​ needed.)

Identify the​ P-value.

​(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.

Fail to reject or Fail Upper H 0H0.

There is or 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.

Fail to reject or Fail  Upper H 0H0.

There is or 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.

C.

Fail to reject or Fail Upper H 0H0.

There is or 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.Your answer is correct.

D.

Fail to reject or Fail Upper H 0H0.

There is or 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. 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 as​ needed.)

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