## 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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When Brett Kavanaugh was nominated to be a Supreme Court justice, a survey of 1059 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 0.10 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. Let p denote the population proportion of all Americans who disapproved of Kavanaugh. Identify the null and alternative hypotheses. Ho: P H₁: p ▼ (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. C P-value= (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. the null hypothesis. There sufficient evidence to the claim that a majority of Americans disapproved of Kavanaugh.
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