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e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... the null hypothesis. O The results are statistically insignificant at ax = 0.01, 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. The results are statistically significant at x = 0.01, 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 different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. O The results are statistically insignificant at x = 0.01, 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 different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. O The results are statistically significant at x = 0.01, so there is sufficient evidence to conclude that the proportion of the 655 Republicans who displayed the American flag in front of their residence on the Fourth of July is different from the proportion of the 670 Democrats who displayed the American flag in front of their residence on the Fourth of July. g. Interpret the p-value in the context of the study. O There is a 12.94% chance of a Type I error. O 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 655 Republicans and 670

e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... the null hypothesis. O The results are statistically insignificant at ax = 0.01, 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. The results are statistically significant at x = 0.01, 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 different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. O The results are statistically insignificant at x = 0.01, 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 different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. O The results are statistically significant at x = 0.01, so there is sufficient evidence to conclude that the proportion of the 655 Republicans who displayed the American flag in front of their residence on the Fourth of July is different from the proportion of the 670 Democrats who displayed the American flag in front of their residence on the Fourth of July. g. Interpret the p-value in the context of the study. O There is a 12.94% chance of a Type I error. O 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 655 Republicans and 670

MATLAB: An Introduction with Applications
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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Are Republicans just as likely as Democrats to display the American flag in front of their residence on the Fourth of July? 450 of the 655 Republicans surveyed display the flag on the Fourth of July and 434 of the 670 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the x = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer H₁: Select an answer Select an answer Select an answer ✓ Select an answer (please enter a decimal) Select an answer ✓ (Please enter a decimal) = b. The test statistic c. The p-value = d. The p-value is ? ✓ α e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The results are statistically insignificant at x = 0.01, 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. The results are statistically significant at x = 0.01, 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 different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. O The results are statistically insignificant at x = 0.01, 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 different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. O The results are statistically significant at = 0.01, so there is sufficient evidence to conclude that the proportion of the 655 Republicans who displayed the American flag in front of their residence on the Fourth of July is different from the proportion of the 670 Democrats who displayed the American flag in front of their residence on the Fourth of July. g. Interpret the p-value in the context of the study. There is a 12.94% chance of a Type I error. 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 655 Republicans and 670 Democrats are surveyed then there would be a 12.94% chance that the percent of the surveyed Republicans and Democrats who display the American flag in front of their residence on the Fourth of July differ by at least 3.9% OIf the sample proportion of Republicans who display the American flag in front of their residence on the Fourth of July is the same as the sample proportion of Democrats who display the American flag in front of their residence on the Fourth of July and if another another 655 Republicans and 670 Democrats are surveyed then there would be a 12.94% chance of concluding that Republicans and Democrats differ by at least 3.9 when it comes to displaying the American flag in front of their residence on the Fourth of July There is a 12.94% chance that Republicans and Democrats differ by at least 3.9% when it comes to displaying the American flag in front of their residence on the Fourth of July. h. Interpret the level of significance in the context of the study. O 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 655 Republicans and 670 Democrats are surveyed then there would be a 1% chance that we would end up falsely concuding that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July There is a 1% chance that there is a difference in the proportion of Republicans and Democrats who display the American flag in front of their residence on the Fourth of July. O 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 655 Republicans and 670 Democrats are surveyed then there would be a 1% chance that we would end up falsely concuding that the proportion of these surveyed Republicans and Democrats who display the American flag in front of their residence on the Fourth of July differ from each other. There is a 1% chance that the American flag will be redesigned with your picture on it to honor you for passing this class.
Transcribed Image Text:Are Republicans just as likely as Democrats to display the American flag in front of their residence on the Fourth of July? 450 of the 655 Republicans surveyed display the flag on the Fourth of July and 434 of the 670 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the x = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer H₁: Select an answer Select an answer Select an answer ✓ Select an answer (please enter a decimal) Select an answer ✓ (Please enter a decimal) = b. The test statistic c. The p-value = d. The p-value is ? ✓ α e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The results are statistically insignificant at x = 0.01, 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. The results are statistically significant at x = 0.01, 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 different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. O The results are statistically insignificant at x = 0.01, 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 different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. O The results are statistically significant at = 0.01, so there is sufficient evidence to conclude that the proportion of the 655 Republicans who displayed the American flag in front of their residence on the Fourth of July is different from the proportion of the 670 Democrats who displayed the American flag in front of their residence on the Fourth of July. g. Interpret the p-value in the context of the study. There is a 12.94% chance of a Type I error. 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 655 Republicans and 670 Democrats are surveyed then there would be a 12.94% chance that the percent of the surveyed Republicans and Democrats who display the American flag in front of their residence on the Fourth of July differ by at least 3.9% OIf the sample proportion of Republicans who display the American flag in front of their residence on the Fourth of July is the same as the sample proportion of Democrats who display the American flag in front of their residence on the Fourth of July and if another another 655 Republicans and 670 Democrats are surveyed then there would be a 12.94% chance of concluding that Republicans and Democrats differ by at least 3.9 when it comes to displaying the American flag in front of their residence on the Fourth of July There is a 12.94% chance that Republicans and Democrats differ by at least 3.9% when it comes to displaying the American flag in front of their residence on the Fourth of July. h. Interpret the level of significance in the context of the study. O 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 655 Republicans and 670 Democrats are surveyed then there would be a 1% chance that we would end up falsely concuding that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July There is a 1% chance that there is a difference in the proportion of Republicans and Democrats who display the American flag in front of their residence on the Fourth of July. O 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 655 Republicans and 670 Democrats are surveyed then there would be a 1% chance that we would end up falsely concuding that the proportion of these surveyed Republicans and Democrats who display the American flag in front of their residence on the Fourth of July differ from each other. There is a 1% chance that the American flag will be redesigned with your picture on it to honor you for passing this class.
Expert Solution
Step 1: Determine the given data in the question

Let p1 and p2 be the two population proportions for Republicans and Democrats respectively.

Given that,

x subscript 1 equals 450 n subscript 1 equals 655 x subscript 2 equals 434 n subscript 2 equals 670

Assume the level of significance left parenthesis alpha right parenthesis equals 0.01


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