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 $p_{1}$ be the probability that commercial cars have rear license plates and $p_{2}$ 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 :

$H_{0}:p_{1} =p_{2}$

$H_{1} :p_{1} < p_{2}$

It is a left tailed test at 0.05 significance.

Standard errors of p= $\sqrt{p(1-p)/n}$

= $\sqrt{(0.1191*0.8809)/2383}$

= $\sqrt{0.1049/2383}$

=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 brainly.com/question/14453510

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5 0

2 years ago

0.145 as a fraction or a mixed number.

Vlad1618 [11]

we can convert any decimal to a fraction, by simply <u>using as many zeros at the bottom as there are decimals, and losing the dot atop</u>, now let's do so, notice we have 3 decimals, so we'll use 3 zeros.

$\bf 0.\underline{145}\implies \cfrac{0145}{1\underline{000}}\implies \stackrel{simplified}{\cfrac{29}{200}}$