MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:### Hypothesis Testing and Statistical Analysis
**Objective:**
Test the given claim about commercial trucks and passenger cars regarding rear license plates.
**Context:**
- **Passenger Cars:** 2077 in total; 240 have only rear plates.
- **Commercial Trucks:** 304 in total; 44 have only rear plates.
- **Hypothesis:** Commercial trucks violate front license plate laws at a higher rate than passenger cars.
- **Significance Level:** 0.01
**Tasks:**
a. Use a hypothesis test.
b. Construct a confidence interval.
---
#### a. Identifying Hypotheses
**Null and Alternative Hypotheses Definitions:**
- **Population 1:** Passenger cars
- **Population 2:** Commercial trucks
The categorization of success is a vehicle having only a rear license plate.
**Options for Hypotheses:**
- **A.**
\( H_0: p_1 < p_2 \)
\( H_1: p_1 = p_2 \)
- **B.** (Selected as correct)
\( H_0: p_1 = p_2 \)
\( H_1: p_1 < p_2 \)
- **C.**
\( H_0: p_1 = p_2 \)
\( H_1: p_1 \neq p_2 \)
- **D.**
\( H_0: p_1 = p_2 \)
\( H_1: p_1 > p_2 \)
**Next Step:** Identify the test statistic.
- **Prompt:** Enter an integer or a decimal, rounded to two decimal places.
This setup guides the hypothesis testing process, crucial for determining compliance with license plate laws.
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