The TSA is considering using a totally new digital full-body x-ray machine. The TSA has hired your consulting firm to conduct a survey to asses the views Americans have about potentially inconvenient and invasive practices that airports could implement to uncover potential terrorist attacks. Your consulting firm conducts a survey with a random sample of 1,137 adults nationwide, where one of the questions on the survey was "Some airports are now using 'full-body' digital x-ray machines to electronically screen passengers in airport security lines. Do you think these new x-ray machines should or should not be used at airports?" Below is a summary of responses based on party affiliation. Survey Results Responses Republican Democrat Independent Should 280 243 261 Should not 38 55 77 Not sure 16 15 22 Total 334 313 360 Conduct a hypothesis test at the 0.05 level evaluating whether there is a difference in the proportion of Republicans and Democrats who think the full-body scans should be used in airports. (Because of randomization, if your success-failure conditions fail, say so but continue with the rest of the test anyway. Show them fully, regardless of the results.) Define any variable you use, such as p1 or p2 Tips: Round your pooled proportion and sample proportions to three decimal places. Round your z values to two places two they can be used in the normal table. Round your final p-value to four places. = = = = To get full credit, you handwritten work must meet all the following criteria: . Show clear and accurate calculations for the pooled proportion . Show clear and accurate calculations for the test statistic Use only the Normal tables to find your p-value, and show all steps on how you got your final p- value, with correct probability notation Show and clearly label all 4 Steps of your test . Write your correct conclusion to Step 4 in a complete sentence that has proper context, correct numbers, etc. . Show all work neatly and using the guidelines we have established so far