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

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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…

Math

Statistics

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.)

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.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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