Hypothesis test for a difference between two population proportions
MyOpenMath 6/25/2021 Are Republicans just as likely as Democrats to display the American flag in front of their residence on the Fourth of July? 404 of the 647 Republicans surveyed display the flag on the Fourth of July and 515 of the 753 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 Select an answer Select an answer . (please enter a decimal) H1: Select an answer . Select an answer . Select an answer v (Please enter a decimal) (please show your answer to 3 decimal places.) b. The test statistic |? * ] = (Please show your answer to 4 decimal places.) c. The p-value = d. The p-value is ? a 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 proportion of the 647 Republicans who displayed the American flag in front of their residence on the Fourth of July is different from the proportion of the 753 Democrats who displayed 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 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. The results are statistically insignificant at a = 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. The results are statistically insignificant at a = 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 different from 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. 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 647 Republicans and 753 Democrats are surveyed then there would be a 1.94% chance of concluding that Republicans and Democrats differ by at least 6 when it comes to displaying 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 647 Republicans and 753 Democrats are surveyed then there would be a 1.94% 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 6% https://www.myopenmath.com/assess2/?cid=76694&aid=5485300#/print
