**Study Analysis: Display of the American Flag on the Fourth of July****Research Question:**Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July?- **Survey Results:** - 409 of the 660 Republicans surveyed display the flag. - 472 of the 687 Democrats surveyed display the flag.**Significance Level:**- Conduct analysis at the α = 0.05 level of significance.**Study Steps:**1. **Statistical Test Selection:** - Decide on the appropriate statistical test to compare the proportions of flag display between Republicans and Democrats.2. **Hypotheses Formulation:** - **Null Hypothesis (H₀):** - Proposed statement regarding population parameters (Choose appropriate options and enter decimals). - **Alternative Hypothesis (H₁):** - Contradictory proposal to the null hypothesis (Choose appropriate options and enter decimals).3. **Calculate Test Statistic:** - Compute the value of the test statistic, showing the answer to three decimal places.4. **Determine the P-value:** - Calculate the p-value, showing the answer to four decimal places.5. **P-value Comparison:** - Analyze if the p-value is greater than, less than, or equal to α.6. **Conclusion:** - Based on the comparison, determine whether to reject or fail to reject the null hypothesis. This analysis will help determine if there is a statistically significant difference in the likelihood of displaying the American flag between Republicans and Democrats on the Fourth of July. Sure, here is the transcription formatted for an educational website:---### Statistical Analysis on the Display of the American Flag#### f. Final Conclusion- **Option 1**: The results are statistically insignificant at α = 0.05, so there is insufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. - **Option 2**: The results are statistically insignificant at α = 0.05, so we can conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is equal to the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. - **Option 3**: The results are statistically significant at α = 0.05, so there is sufficient evidence to conclude that the proportion of the 660 Republicans who displayed the American flag in front of their residence on the Fourth of July is less than the proportion of the 687 Democrats who displayed the American flag in front of their residence on the Fourth of July. - **Option 4**: The results are statistically significant at α = 0.05, so there is sufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July.#### g. Interpretation of the p-value in the Context- **Option 1**: There is a 0.47% chance that Republicans are at least 6.7% less likely to display the American flag in front of their residence on the Fourth of July. - **Option 2**: There is a 0.47% chance of a Type I error. - **Option 3**: If the percent of all Republicans who display the American flag in front of their residence on the Fourth of July is the same as the percent of all Democrats who display the American flag in front of their residence on the Fourth of July and if another 660 Republicans and 687 Democrats are surveyed, then there would be a 0.47% chance that the percent of the surveyed Republicans who display the American flag in front of their residence on the Fourth of July

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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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