After a charity luncheon 11 individuals became sick with a diarrheal illness. As a public health officer your job is to determine what food caused the illness. To do so, you perform a case- control study of the 21 people who attended the luncheon (both those who became sick and those who did not). Cases are those who became sick (ill=Y), and controls are those who did not (ill=N). The following chart shows which foods each individual ate: Person III? Hamburger Potato Cupcake Salad 1 0 2 0 X 3 Y 4 Y 0 5 0 0 6 Y 0 7 0 8 Y 9 Y 0 0 10 Y 11 Y 0 0 12 N 13 N 14 N X 0 0 15 N 16 N 0 17 0 18 N 0 0 19 N 0 0 20 X 21 N 0 0 2.A.1) Construct a 2x2 table to compare the odds of eating a hamburger compare to controls. 2.A.2) What are the odds that cases ate a hamburger? (Show all work. Round to 2 decimal places) 2.A.3) Calculate the OR of cases eating a hamburger compare to controls. (Show all work. Round to 2 decimal places) 2.B.1) Construct a 2x2 table to compare the odds of eating the potato salad compared to controls. 2.B.2) What are the odds that cases ate the potato salad? (Show all work. Round to 2 decimal places) 2.B.3) Calculate the OR of cases eating potato salad compared to controls. (Show all work. Round to 2 decimal places) 2.C.1) Construct a 2x2 table to compare the odds of eating the cupcake compared to controls. 2.C.2) What are the odds that controls ate the cupcake? (Show all work. Round to 2 decimal places) 2.C.3) Calculate the OR of cases eating cupcake compared to controls. (Show all work. Round to 2 decimal places) 2.D) Based on these findings, what do you suspect to the food most likely cause of the diarrheal illness? Why? Explain in 1 sentence.