**Expert Q&A: Hypothesis Testing on Survey Data****Scenario:**An online poll asked, "Do you believe the Loch Ness monster exists?" Among 20,804 responses, 65% were "Yes." Use a 0.01 significance level to test the claim that most people believe that the Loch Ness monster exists. Consider how the conclusion might be affected by the fact that Internet users could decide whether to respond.**Questions:**1. **Identify the Null and Alternative Hypotheses:** - Choose the correct answer: - A. - \( H_0: p = 0.5 \) - \( H_1: p > 0.5 \) - B. - \( H_0: p = 0.5 \) - \( H_1: p \neq 0.5 \) - C. - \( H_0: p = 0.5 \) - \( H_1: p < 0.5 \) - D. - \( H_0: p = 0.95 \) - \( H_1: p < 0.5 \)2. **Identify the Test Statistic:** - Input the test statistic for this hypothesis test. (Round to two decimal places as needed.)3. **Identify the P-value:** - Input the P-value for this hypothesis test. (Round to three decimal places as needed.)4. **Conclusion for the Hypothesis Test:** - Choose the correct conclusion: - A. Fail to reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists. - B. Reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists. - C. Reject \( H_0 \). There is sufficient evidence to support the claim that most people believe that the Loch Ness monster exists. - D. Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that most people believe that the Loch Ness monster exists.5. **Impact of Voluntary Response Bias:** - How is the conclusion affected? - A. Since the sample is a voluntary-response sample, the conclusion might not be valid.

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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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