In: Statistics and Probability
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 2073 passenger cars in a particular region, 239 had only rear license plates. Among 385 385 commercial trucks, 57 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 passenger cars and population 2 corresponds to the commercial trucks commercial trucks. Let a success be a vehicle that only has a rear license plate.