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 2038 passenger cars in a particular region, 218 had only rear license plates. Among 346 commercial trucks, 52 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 α= 0.05 significance level to test that hypothesis. Required:
a. Test the claim using a hypothesis test.
b. Test the claim by constructing an appropriate confidence interval.
c. 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.
d. State the conclusion about the null hypothesis, as well as the final that addresses the original claim.