### 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 trucksThe 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.

The sample size [n1] = 2077The sample size [n2] = 304

Answered: n state the conclusion about the null…

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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A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2999 occupants not wearing seat belts, 31 were killed. Among 7626 occupants wearing seat belts, 14 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? A. Ho: P₁ ≤P2 H₁: P₁ P2 D. Ho: P₁ P2 H₁: P₁ = P2 Identify the test statistic. B. Ho: P₁ = P2 H₁: P₁ P2 E. Ho: P₁ = P2 H₁: P₁ P2 Z= (Round to two decimal places as needed.) C. Ho: P₁ H₁: P₁ P2 P2 F. Ho: P₁ = P2 H₁: P₁ P2
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