Question

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 2158 passenger cars in a particular region, 249 had only rear license plates. Among 330 commercial trucks, 46 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. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. Identify the test statistic (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. O A. Fail to reject Ho. There is sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. O B. Fail to reject Ho. There is not sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. O C. Reject Ho. There is not sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. OD. Reject Ho. There is sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. b. 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. <P-P Click to select your answer(s).

Answer 1

Ang wexis Given that, n, : 2158 Xq = 249 / 12 = 330 I X2 = 46 P, 249 2158 = 0.115 A pa -4G = 0.139 330 Test statistic (7) = re(1-P) ('n +/M2) X + x2 nitriz 249+46 2158 +330 0.118 Z (0.115 -0.139) 0.118 11-0.118) (%158 + %50) -1.2581 Test statistic Pvalue =10.1042/ since, pvalue 70.05, There is not sufficient eviderice to support the claim (do riot reject) b) 2= 0.05, 24/? : 1960 C.I - Pia P2 + 7% P (1-P) Palenia) + n VIZ → 0.119-0.139 + 1.9600.115)(0.885) + 0.139 (0.861) 2156 330 -0.084 +0.03967 -0.024 + 0.03967 • (-0.06367, 0.01567)