### Hypothesis Testing for Proportion**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.**Calculate the test statistic.**- **Test Statistic =** [ ] \(*Round to two decimal places as needed.*)#### Instructions:1. **Hypotheses:** - Null Hypothesis (\(H_0\)): \( p = 0.5 \) - Alternate Hypothesis (\(H_1\)): \( p > 0.5 \)2. **Level of Significance:** - \( \alpha = 0.05 \)3. **Sample Data:** - Sample size (\( n \)) = 200 - Number of successes (\( X \)) = 1234. **Sample Proportion:** - \( \hat{p} = \frac{X}{n} = \frac{123}{200} = 0.615 \)5. **Test Statistic Calculation:** - Use the formula for the test statistic for population proportion: \[ z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0(1 - p_0)}{n}}} \]#### Available Options:- **Help me solve this** (interactive tutorial assistance)- **View an example** (see a similar example solved step-by-step)- **Get more help** (access further resources)- **Clear all** (reset the problem)- **Check answer** (submit for correctness check)#### Statistical Tool Note:Make sure to use the statistical tool or calculator to input the proportions and check against the critical value at \( \alpha = 0.05 \) for the given hypothesis.---#### Practical Implication:Understanding the concept of hypothesis testing allows you to make informed decisions based on statistical evidence. In this case, the test will help determine if more than half of the surveyed drivers prefer American-made cars, given the responses from the sample.

Number of successes is x= 123. Sample size is n =200. Level of significance is…

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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