## Example of Hypothesis Testing### ContextWhen Brett Kavanaugh was nominated to be a Supreme Court justice, a survey of 1127 Americans showed that 50.6% of them disapproved of Kavanaugh. A newspaper published an article with this headline: "Majority of Americans Disapprove of Kavanaugh." Use a 0.01 significance level to test the claim made in that headline. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.### HypothesesLet $ p $ denote the population proportion of all Americans who disapproved of Kavanaugh. Identify the null and alternative hypotheses.- $ H_0 $: $ p = 0.5 $- $ H_1 $: $ p > 0.5 $### Calculations- **Test Statistic**: $ z $ (Round to two decimal places as needed)- **P-value**: (Round to three decimal places as needed)### ConclusionState the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. **Hypothesis Testing Exercise****Context:**When Brett Kavanaugh was nominated to be a Supreme Court justice, a survey of 1,127 Americans showed that 50.6% of them disapproved of Kavanaugh. A newspaper published an article with this headline: “Majority of Americans Disapprove of Kavanaugh.” Use a 0.01 significance level to test the claim made in that headline. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.**Task:**1. **State the Hypotheses:** - Null Hypothesis ($ H_0 $): $ p = 0.5 $ - Alternative Hypothesis ($ H_1 $): $ p > 0.5 $2. **Identify the Test Statistic:** - $ z = $ (Round to two decimal places as needed.)3. **Identify the P-value:** - P-value = (Round to three decimal places as needed.)4. **Conclusion:** - State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. - [ ] Reject or [ ] Fail to reject the null hypothesis. There is [ ] sufficient or [ ] not sufficient evidence to [ ] support or [ ] refute the claim that a majority of Americans disapproved of Kavanaugh.**Instructions:**Fill in the blanks with your calculations. Use the provided significance level and test statistic to complete the hypothesis testing process.

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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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