A) Solve the following problem on its own sheet of blank paper. No other problems should appear on this page.- Trevor Is working for a large consulting rm in Atlanta (License #084242). Trevor is studying the shopping preferences for three types of shoppers for a client. The three shopping types are Millenlals, GenXers, and Boomers. Trevor conducts a survey with a random sample. One question on the survey is "What dominant color do you prefer when you shop at a large, premium department store?" The survey gave three choices, shown below. Research Question: Is there a signicant difference in the proportion of Millenials and Boomers that prefer the color Blue, the most commonly chosen color? Surve Results Choices '7 Millenial _ Brown 127 , 2?9, 32, ,, 323 Conduct an appropriate hypothesis test BY HAND (a = 0.10 ) that answers the research question given above. Do not use StatCrunch for this problem. Note: 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.) Dene any variables you use and use those variables throughout your work. a Tips: Round your pooled proportion and sample proportions to three decimal places. Round your 2 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, your work must be handwritten and meet all the following criteria: StatCrunch Is NOT used Show AND label clear and accurate calculations for the pooled proportion Show AND label 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 nal 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 0000 00 8) Enter your answers. Your answer should be in a complete sentence. In the answer box, a type your conclusion of the test (Step4) in a complete sentence that uses the appropriate numbers and context. You do not have to type up al! of your work in the answer box, just your final conclusion. You will upload your work in Part C. If you do not enter anything in the answer box, your work will not be scored. Your answers must match what is on your paper that is uploaded