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. Among 2142 passenger cars in a particular region, 233 had only rear license plates. Among 311 commercial trucks, 43 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. b. Test the claim by constructing an appropriate confidence interval. a. Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let only has a rear license plate. OA. Ho: P₁ = P2 H₁: P₁ P2 OB. Ho: P₁ P2 H₁: P₁ P2 OC. Ho: P₁ H₁: P₁ OD. Ho: P₁ H₁: P₁ P2 P2 ... P2 P2 success be a vehicle that
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. Among 2142 passenger cars in a particular region, 233 had only rear license plates. Among 311 commercial trucks, 43 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. b. Test the claim by constructing an appropriate confidence interval. a. Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let only has a rear license plate. OA. Ho: P₁ = P2 H₁: P₁ P2 OB. Ho: P₁ P2 H₁: P₁ P2 OC. Ho: P₁ H₁: P₁ OD. Ho: P₁ H₁: P₁ P2 P2 ... P2 P2 success be a vehicle that
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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Transcribed Image Text:### Hypothesis Testing: Passenger Cars vs. Commercial Trucks
**Scenario:**
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. Among 2142 passenger cars in a particular region, 233 had only rear license plates. Among 311 commercial trucks, 43 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.
#### Tasks:
a. Test the claim using a hypothesis test.
b. Test the claim by constructing an appropriate confidence interval.
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**Part a: Hypothesis Testing**
a. Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate.
Select the correct hypothesis:
A.
- \( H_0: p_1 = p_2 \)
- \( H_1: p_1 > p_2 \)
B.
- \( H_0: p_1 = p_2 \)
- \( H_1: p_1 < p_2 \)
C.
- \( H_0: p_1 < p_2 \)
- \( H_1: p_1 = p_2 \)
D.
- \( H_0: p_1 = p_2 \)
- \( H_1: p_1 \ne p_2 \)
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In an educational setting, it is crucial to precisely understand the steps to formulating and testing hypotheses. This involves acknowledging the populations being compared (passenger cars vs. commercial trucks), defining the success criteria (vehicles with only rear license plates), and clearly stating both the null and alternative hypotheses to be tested at a specified significance level (0.10 in this case).
To test the hypothesis, one would proceed by calculating the test statistic and corresponding p-value, comparing it to the significance level, and then determining whether to reject the null hypothesis, hence addressing the original claim provided in the scenario.
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