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 2001 passenger cars in a particular region. 220 had only rear license plates. Among 392 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 0.10 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 and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate. N. A. Ho: P, P2 HP: <P2 | B Họ - P1-P2 Hy P1 P2 oc Ho: P = P2 HP #P2 OD. Ho P, <P2 HP1P2 Identify the test statistic (Round to two decimal places as needed) Enter your answer in the answer box and then click Check Answer 4 parts remaining Clear All CHASE

Answer 1

Ginn 2001 220 x = pi= x = 0.logg n = 392 x2 = 57 P2 = Xelm 0.1454 ni To test Ho :P, = P₂ Hi P. LP₂ pooled proportion p=X+X₂ 220+57 2001+ 392 P = 0.11575 Jest statistics is z = P-P speres [h th z = -2.0069 ✓ At a=0.10 Contical value = -1.282 v Sine ZL-1.282 > Reject Ho at 2=0.05 Thex is sufficient evidence that that commercial trucks front liance plates at higher rate than passenger cars. owners requiring

6 go% confidence internal for Pi-P₂ is { if I Zain PCI-PD [t hz] ] ve [ 0.logg-0.1454 +1.645 (0.11575x0.88425 [1 + 12 H T-0.0355 I 0.0291 1 (-0.0645 -0.0064 ) -0.0645 L Pi-P₂ -0.0064 /