### National Survey on Civil War RelevanceA national survey conducted among a simple random sample of 1,514 adults shows that 59% of Americans think the Civil War is still relevant to American politics and political life.**(a) Conduct a Hypothesis Test:**To determine if these data provide strong evidence that the majority of Americans think the Civil War is still relevant.#### State the appropriate null and alternative hypotheses:- \( H_0: p = 0.5 \)- \( H_A: p > 0.5 \)This hypothesis test is one-sided with the alternative hypothesis suggesting that more than half of the population believes the Civil War is still relevant.#### Check the Relevant Conditions:The sample **is** random and the sample represents **less than 10%** of all Americans. Therefore, whether or not one American in the sample thinks the Civil War is still relevant **is** independent of another. The success-failure condition **is** met since the number of successes and failures is **greater than 10**.#### Calculate the Test Statistic and Determine the p-value:\[ z = \]\[ p\text{-value} = \]- **Note:** Round the test statistic to two decimal places and the p-value to four decimal places.---**Graph/Diagram Explanation:**There are no graphs or diagrams in the provided image. The image primarily consists of textual information and interactive elements related to the hypothesis test for proportion. 1. **Hypotheses Selection Box:** - Contains five choices for null \( H_0 \) and alternative hypotheses \( H_A \). The option chosen is: - \( H_0: p = 0.5 \) - \( H_A: p > 0.5 \)2. **Checkbox Conditions:** - Interactive boxes are checked to ensure the validity of the test: - Sample randomness. - Sample representing less than 10% of the population. - Independence of each observation. - Success-failure condition.3. **Input for Test Statistic and p-value:** - Two fields provided to enter the calculated z-value and the p-value, emphasizing appropriate rounding for reporting the results.This explanation guides users through conducting a hypothesis test for population proportion, ensuring understanding of conditions and interpretation of statistical results.

Answered: Image /qna-images/answer/54572c4c-bd42-4b82-844e-0a99daef5490.jpg

(a) Conduct a hypothesis test to determine if these data provide strong evidence that the majority of the Americans think the Civil War is still relevant. State the appropriate null and alternative hypotheses. O Ho:p2 0.5 HA: p < 0.5 O Hoi p = 0.5 HA: p # 0.5 O Ho:p # 0.5 HA: p = 0.5 O Ho: p = 0.5 HA: p > 0.5 O Ho:p = 0.5 HA: p < 0.5 Check the relevant conditions. The sample is War is still relevant is random and the sample represents less than V independent of another. The success-fallure condition is 10% of all Americans. Therefore, whether or not one American in the sample thinks the met since the number of successes and failures is greater than 10. Calculate the test statistic and determine the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) p-value =

(a) Conduct a hypothesis test to determine if these data provide strong evidence that the majority of the Americans think the Civil War is still relevant. State the appropriate null and alternative hypotheses. O Ho:p2 0.5 HA: p < 0.5 O Hoi p = 0.5 HA: p # 0.5 O Ho:p # 0.5 HA: p = 0.5 O Ho: p = 0.5 HA: p > 0.5 O Ho:p = 0.5 HA: p < 0.5 Check the relevant conditions. The sample is War is still relevant is random and the sample represents less than V independent of another. The success-fallure condition is 10% of all Americans. Therefore, whether or not one American in the sample thinks the met since the number of successes and failures is greater than 10. Calculate the test statistic and determine the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) p-value =

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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While continuing to keep abreast of local trends in education, a school administrator read an article that reported only 42% of high school students study on a regular basis. He claims that this percentage is too low for his district. State the null and alternative hypotheses for the given scenario.
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Looking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.
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