Respuesta :
Answer:
There is statistical evidence at 1% significance level to support that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.
Step-by-step explanation:
Given that among 2180 passenger cars in a particular region, 246 had only rear license plates. Among 302 commercial trucks, 44 had only rear license plates.
Cars Trucks Total
Total 2180 302 2482
X 246 44 290
p 0.1128 0.1457 0.1168
[tex]H_0: p_1 = p_2\\H_a: p_1 <p_2\\[/tex]
(left tailed test at 1% significance level)
Std error of p = [tex]\sqrt{\frac{0.1168*0.8832}{2482} } \\=0.0064[/tex]
Test statistic Z = p differnce/std error =
[tex]\frac{0.1128-0.1457}{0.0064} \\\\=-5.14[/tex]
p value <0.0001
Since p is less than 1% we reject null hypothesis
There is statistical evidence at 1% significance level to support that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.
