Question

b. Test the claim by constructing an appropriate confidence interval 

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

A 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. 

B., 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. 

C. 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. 

D. 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. 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. rear license plate.

Test the given claim. Identify the null hypothesis, a mative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original daim. Among 2076 passenger cars in a particular region, 235 had only rear license plates. Among 333 commercial trucks, 50 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 

State the conclusion about the null hypothesis, as well as the final conclusion that addre 

Answer 1

This is a one tailed test with 0.01 significance level so appropriate level of confidence will be 1 - 2*0.01 i.e. 0.98.

The statistical software output for this problem is:

Hence,

Required confidence interval will be:

-0.0853 < (p1 - p2) < 0.0114

Answer 2

Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the nullhypothesis, as well as the final conclusion that addresses the original claim. Among

2050

passenger cars in a particular region,

233

had only rear license plates. Among

335

commercial trucks,

48

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.