Respuesta :
Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.
Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.
let [tex]p_{1}[/tex] be the probability that commercial cars have rear license plates and [tex]p_{2}[/tex] be the probability that connected trucks have rear license plates.
             Cars           Trucks             Total
Total          2049           334               2383
x              239            45                 284
p             0.1166          0.1347              0.1191
α=0.05
Hypothesis will be  :
[tex]H_{0}:p_{1} =p_{2}[/tex]
[tex]H_{1} :p_{1} < p_{2}[/tex]
It is a left tailed test at 0.05 significance.
Standard errors of p=[tex]\sqrt{p(1-p)/n}[/tex]
=[tex]\sqrt{(0.1191*0.8809)/2383}[/tex]
=[tex]\sqrt{0.1049/2383}[/tex] Â Â Â Â
=0.0066
Test statistic Z=p difference/standard error
=(0.1166-0.1347)/0.0066
=-0.0181/0.0061
=-2.967
p value=0.001505<5%
Since p is less than 5% we reject null hypothesis.
We cannot calculate standard deviation so  we cannot calculate confidence interval.
Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.
Learn more about z test at https://brainly.com/question/14453510
#SPJ4
