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 2158 passenger cars in a particular​ region, 235 had only rear license plates. Among 351 commercial​ trucks, 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 passenger cars and population 2 correspond to the commercial trucks . Let a success be a vehicle that only has a rear license plate. A. Upper H 0 ​: p 1 equalsp 2Upper H 1 ​: p 1 greater thanp 2 B. Upper H 0 ​: p 1 equalsp 2Upper H 1 ​: p 1 not equalsp 2 C. Upper H 0 ​: p 1 less thanp 2Upper H 1 ​: p 1 equalsp 2 D. Upper H 0 ​: p 1 equalsp 2Upper H 1 ​: p 1 less thanp 2 Identify the test statistic. nothing ​(Round to two decimal places as​ needed.) Identify the​ P-value. nothing ​(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 Upper H 0 . 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. Fail to reject Upper H 0 . 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. Reject Upper H 0 . 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. Fail to reject Upper H 0 . 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. 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. nothing less thanp 1minusp 2less thannothing ​(Round to four decimal places as​ needed.) Because the confidence interval limits ▼ contain do not contain ​0, there ▼ is not is 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. Click to select your answer(s).

Answer 1

Conclusion : D0 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.

Conclusion :

Because the confidence interval limits contain 0, 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.