**Educational Content: Hypothesis Testing Example****Problem Statement:**A simple random sample of size \( n = 200 \) drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 123 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the \( \alpha = 0.05 \) level of significance.**Step-by-Step Solution:**1. **Identify the Type of Hypothesis Test:** - **Option A**: Hypothesis test on a population proportion ✅ - Option B: Hypothesis test on a population mean - Option C: Hypothesis test on a population standard deviation2. **Determine the Null and Alternative Hypotheses:** \[ H_0: p = 0.5 \] \[ H_1: p > 0.5 \] Where \( p \) represents the proportion of drivers who drive an American-made automobile.*Note: Since we are checking if the majority (which means more than half, hence greater than 0.5), the alternative hypothesis \( H_1 \) should state that the population proportion \( p \) is greater than 0.5.3. **Data Entry (as shown in the image):** - Input the null hypothesis \( H_0 \): "p = 0.5" - Input the alternative hypothesis \( H_1 \): "p > 0.5"4. **Instructions for Users:** - Select the correct hypothesis test type. - State your null and alternative hypotheses clearly using appropriate symbols. - Note that when specifying the alternative hypothesis, it should reflect the question's claim.5. **Help and Additional Resources:** - "Help me solve this" provides guided steps for solving similar problems. - "View an example" shows solved examples for better understanding. - "Get more help" offers additional resources or tutorials.By identifying the hypothesis test type and formulating appropriate hypotheses, you can determine if your sample data provides sufficient evidence to support the claim that the majority of drivers use American-made automobiles.

Given : population proportion, p = 0.05

Answered: A simple random sample of size n=200…

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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