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 2174 passenger cars in a particularregion, 253 had only rear license plates. Among 341 commercialtrucks, 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 0.10 significance level to test that hypothesis.

a. Identify the test statistic

b. Test the claim by constructing an appropriate confidence interval

2. Since an instant replay system for tennis was introduced at a majortournament, men challenged 1427 refereecalls, with the result that 425 of the calls were overturned. Women challenged 773 refereecalls, and 211 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls.

a. Identify the test statistic