Are Republicans more likely than Democrats to display the American flag in front of their residence on the Fourth of July? 413 of the 681 Republicans surveyed display the flag on the Fourth of July and 359 of the 634 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the a = 0.05 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer V Select an answer| Select an answer v (please enter a decimal) H1 : Select an answer V Select an answer V Select an answer V (Please enter a decimal) b. The test statistic ? = (please show your answer to 3 decimal places.) C. The p-value = (Please show your answer to 4 decimal places.) 1. The p-value is ? va e. Based on this, we should ( Select an answer | | the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 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 greater than 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 a = 0.05, so there is sufficient evidence to conclude that the proportion of the 681 Republicans who displayed the American flag in front of their residence on the Fourth of July is greater than the proportion of the 634 Democrats who displayed the American flag in front of their residence on the Fourth of July. The results are statistically insignificant at o = 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 greater than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. The results are statistically insignificant at @ = 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. g. Interpret the p-value in the context of the study. There is a 6.94% chance that Republicans are at least 4% more likely to display the American flag in front of their residence on the Fourth of July. If 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 681 Republicans and 634 Democrats are surveyed then there would be a 6.94% chance of concluding that Republicans are at least 4% more likely to display the American flag in front of their residence on the Fourth of July 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 681 Republicans and 634 Democrats are surveyed then there would be a 6.94% chance that the percent of the surveyed Republicans who display the American flag in front of their residence on the Fourth of July would be at least 4% more than the percent of the surveyed Democrats who display the American flag in front of their residence on the Fourth of July. There is a 6.94% chance of a Type | error. h. Interpret the level of significance in the context of the study. 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 681 Republicans and 634 Democrats are surveyed then there would be a 5% 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 greater than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July There is a 5% 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. There is a 5% chance that the American flag will be redesigned with your picture on it to honor you for passing this class. 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 681 Republicans and 634 Democrats are surveyed then there would be a 5% 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
