**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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Perform the following hypothesis test of a proportion: HO: p = 0.33 HA: p 0.33 The sample proportion is 0.31 based on a sample size of 100. Use a 10% significance level. What is the value of the test statistic? (Give your answer rounded to 2 decimals) (Be careful to make sure your + or - sign is correct)
Provide an appropriate response. 1) A local supermarket claims that the waiting time for its customers to be served is the lowest in the area. A competitor's supermarket checks the waiting times at both supermarkets. The sample statistics are listed below. Test the local supermarket's hypothesis. Use a = 0.05. Local Supermarket n1 = 15 Competitor Supermarket n2 = 16 x2 = 5.6 minutes s2 = 1.0 minutes x1 = 5.3 minutes s1 = 1.1 minutes
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In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the a 0.05 significance level, test the claim that the responses occur with the same frequency. Ho: The responses to the questions occur with the same frequency. H₁: The responses to the questions do not occur with the same frequency. Observed Response Frequency Expected Frequency (0-E)2 E A 6 16.2 8 B 10 16.2 C 24 16.2 D 18 16.2 8 E 23 16.2 a. What is the X2 test-statistic for this data? Round to four decimal places. x²= b. What is the p-value? Round to four decimal places. p-value= c. What would be the conclusion of this hypothesis test? O Fail to reject the hull hypothesis. Reject the null hypothesis. d. What is the final conclusion? O There is sufficient evidence to conclude the test question responses occur with the same frequency. There is sufficient evidence to conclude the test question responses do not occur with the same frequency. O There is not sufficient evidence to…
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Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 18 μg/g. Assume that the sample is a simple random sample. 13 15.5 3.5 8.5 17 18.5 8.5 19 9.5 20
The National Longitudinal Study of Adolescent Health interviewed a random sample of 4877 teens (grades 7 to 12). One question asked, “What do you think are the chances you will be married in the next 10 years?” Given is a two-way table of the responses by gender. Which of the following is the appropriate null hypothesis for performing a chi-square test?
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