Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July? 425 of the 659 Republicans surveyed display the flag on the Fourth of July and 538 of the 784 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the αα = 0.01 level of significance?For this study, we should use Select an answer z-test for a population proportion t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean t-test for the difference between two independent population means The null and alternative hypotheses would be: H0:H0: Select an answer p1 μ1 Select an answer > = ≠ < Select an answer p2 μ2 (please enter a decimal) H1:H1: Select an answer p1 μ1 Select an answer > ≠ = < Select an answer μ2 p2 (Please enter a decimal)The test statistic ? z t = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ? ≤ > ααBased on this, we should Select an answer reject fail to reject accept the null hypothesis.Thus, the final conclusion is that ...The results are statistically insignificant at αα = 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 insignificant at αα = 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 less 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 αα = 0.01, so there is sufficient evidence to conclude that the proportion of the 659 Republicans who displayed the American flag in front of their residence on the Fourth of July is less than the proportion of the 784 Democrats who displayed the American flag in front of their residence on the Fourth of July.The results are statistically significant at αα = 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 less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July.Interpret the p-value in the context of the study.There is a 4.86% chance that Republicans are at least 4.1% less 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 659 Republicans and 784 Democrats are surveyed then there would be a 4.86% chance of concluding that Republicans are at least 4.1% less likely to display the American flag in front of their residence on the Fourth of JulyThere is a 4.86% 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 659 Republicans and 784 Democrats are surveyed then there would be a 4.86% 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 4.1% less than the percent of the surveyed Democrats who display the American flag in front of their residence on the Fourth of July.

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Description: Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July? 425 of the 659 Republicans surveyed display the flag on the Fourth of July and 538 of the 784 Democrats surveyed display the fl

Given, X1=425n1=659X2=538n2=784α=0.01 Therefore, p1=425659=0.6449p2=538784=0.6862 and the pooled…

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Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July? 425 of the 659 Republicans surveyed display the flag on the Fourth of July and 538 of the 784 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the αα = 0.01 level of significance?

For this study, we should use Select an answer z-test for a population proportion t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean t-test for the difference between two independent population means

The null and alternative hypotheses would be:

H0:H0: Select an answer p1 μ1 Select an answer > = ≠ < Select an answer p2 μ2 (please enter a decimal)

H1:H1: Select an answer p1 μ1 Select an answer > ≠ = < Select an answer μ2 p2 (Please enter a decimal)

The test statistic ? z t = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? ≤ > αα
Based on this, we should Select an answer reject fail to reject accept the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically insignificant at αα = 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 insignificant at αα = 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 less 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 αα = 0.01, so there is sufficient evidence to conclude that the proportion of the 659 Republicans who displayed the American flag in front of their residence on the Fourth of July is less than the proportion of the 784 Democrats who displayed the American flag in front of their residence on the Fourth of July.
- The results are statistically significant at αα = 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 less than the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July.
Interpret the p-value in the context of the study.
- There is a 4.86% chance that Republicans are at least 4.1% less 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 659 Republicans and 784 Democrats are surveyed then there would be a 4.86% chance of concluding that Republicans are at least 4.1% less likely to display the American flag in front of their residence on the Fourth of July
- There is a 4.86% 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 659 Republicans and 784 Democrats are surveyed then there would be a 4.86% 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 4.1% less than the percent of the surveyed Democrats who display the American flag in front of their residence on the Fourth of July.

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