Need help to solve stats problem from section 9.1 of triola. Please use TI-84 calculator and give steps and explanation on how to solve:

1. Test the given claim. Identify the nullhypothesis, alternativehypothesis, teststatistic, P-value, and then state the conclusion about the nullhypothesis, as well as the final conclusion that addresses the original claim. Among 2133 passenger cars in a particularregion, 231 had only rear license plates. Among 301 commercialtrucks, 41 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

passengercars and population 2 correspond to the commercialtrucks. Let a success be a vehicle that only has a rear license plate.

H0: p1 = p2

H1: p1 < p2

Identify the test statistic.

(Round to two decimal places asneeded.)

Identify theP-value.

(Round to three decimal places asneeded.)

b. Identify the confidence interval limits for the appropriate confidence interval. Let population 1 correspond to thepassengercars and population 2 correspond to thecommercialtrucks. Let a success be a vehicle that only has a rear license plate.

.

(Round to four decimal places asneeded.)

Because the confidence interval limitscontain0, thereis nota significant difference between the two proportions. Thereis notsufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.