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 2091 passenger cars in a particular region, 241 had only rear license plates. Among 332 commercial trucks, 47 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.

(Preferably in formula solution)

Identify the test statistic.

Identify the P-value from the output, rounding to three decimal places.

b. As in part (a), let population 1 correspond to the

passengercars and population 2 correspond to the commercialtrucks. Let success be a vehicle that only has a rear license plate. Use technology or the expression below to find the confidence interval estimate of the difference p1p2, where z/2 is the z score with an area of /2

to its right. Create a confidence interval.