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 2076 passenger cars in a particular region, 235 had only rear license plates. Among 333 commercial trucks, 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 0.01 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 comrespond 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. O A. Ho: P1 P2 H: P1 P2 B., Ho P1 P2 H: P1P2 O C. Ho P1 P2 H P1 P2 O D. Ho: P1P2 H: P1 P2 Identify the test statistic. - 0.01 (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Clear All Check Answer 4 parts remaining Google Chrome P 237 NOV 10 MacBook Air

Answer 1

Null hypothesis H :P1 = P2 H:P<P2 Alternative hypothesis Samplel : Sample number of events X= 235 Given Sample size n= 2076 Given Sample proportion 0.1132 Sample II : Sample number of events Sample size X= 50 Given 333 Given n= Sample proportion 22 - *2 = 0.5015 P = TP1 2 P2 nPi+12P2 = ni + n2 Pooled proportion: 0.11831 Level of significance a = 0.01 Given Standard error + = - n 0.01907 - 12 Point estimate P1-P2 = -0.037 Test statistic : -1.94 P1-P2 Vi 1 1 — + — nin2 p-value: The left tailed p-value is plz< -1.94 )= 0.0262 Decision: We fail to reject Ho because p-value is greater than a