Problem 4: Drowsiness of Allergy Medicines (no data set is posted for this problem). A serious side effect of allergy medicines is that they cause drowsiness, which can cause many problems for the individuals taking them. In recent years, a new non-drowsy allergy medicine has been developed. The company that created the medicine claims to be the first, once-a-day, non-drowsy allergy medicine (call it Medicine A). An independent research group wanted to check on this claim by comparing Medicine A with another allergy medicine not advertised as non-drowsy (call it Medicine B). A random sample of 3,193 allergy sufferers was selected and each individual was randomly assigned to take either Medicine A or Medicine B. From the Medicine A group, 114 of 1,604 reported drowsiness and from the Medicine B group, 155 of 1,589 reported drowsiness. a) Calculate and label the two sample proportions separately. Next, calculate the difference between these sample proportions by subtracting (Medicine A - Medicine B). Complete these calculations by hand, label each of them, and present each of these values in your solutions rounded to four decimal places. b) Define the population parameter that the difference between the sample proportions is estimating in context in one sentence. c) Check the Central Limit Theorem conditions for a confidence interval for the difference between two proportions. Show your work for the numerical calculations. d) Construct the 95% confidence interval in StatCrunch using Proportion Stats > Two Sample > With Summary. e) Interpret the 95% confidence interval in context in one sentence. f) Does your confidence interval capture 0? Answer this question and discuss what that