identify the test statistics, p value, and confidence interval.. **Hypothesis Testing of License Plate Violations****Problem Statement:**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. **Data:**- Among 370 commercial trucks, 56 had only rear license plates.- Among 2106 passenger cars in a particular region, 225 had only rear license plates.A reasonable hypothesis is that commercial truck 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.**Instructions:**a. Test the claim using a hypothesis test.**Hypotheses:**- **Null Hypothesis (\(H_0\))**: \( p_1 \leq p_2 \) - (The proportion of commercial trucks with only rear plates is less than or equal to the proportion of passenger cars with only rear plates.) - **Alternative Hypothesis (\(H_1\))**: \( p_1 > p_2 \) - (The proportion of commercial trucks with only rear plates is greater than the proportion of passenger cars with only rear plates.)**Formula for Test Statistic:**\[ Z = \frac{(\hat{p_1} - \hat{p_2}) - 0}{\sqrt{\hat{p}(1-\hat{p})(\frac{1}{n_1} + \frac{1}{n_2})}} \]where:- \(\hat{p_1} = \frac{x_1}{n_1}\) and \(\hat{p_2} = \frac{x_2}{n_2}\) are the sample proportions.- \(\hat{p} = \frac{x_1 + x_2}{n_1 + n_2}\) is the pooled proportion.**Identification of Test Statistic:**\[ \hat{p_1} = \frac{56}{370} \]\[ \hat{p_2} = \frac{225}{2106} \]\[ \hat{p} = \frac{56 + 225}{370 + 2106} \]**Steps to Complete:**1. Calculate the sample proportions (\(\hat{p_1}\), \(\hat{p

Name: identify the test statistics, p value, and confidence interval.. **Hyp
Uploaded: 2024-03-20T07:07:12.000Z
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Description: identify the test statistics, p value, and confidence interval.. **Hypothesis Testing of License Plate Violations****Problem Statement:**Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, p-value, and then sta

The proportion of commercial trucks violating laws requiring front license is, Thus ,the proportion…

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well as the final conclusion that addresses the original claim. Among 2106 passenger cars in a particular region, 225 had only rear license plates. Am 370 commercial trucks, 56 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. TI- PI-P Identify the test statistic. (Round to two decimal places as needed.)