New Capital City will soon create a smart city and assign a group of researchers to observe the number of cars passing east through the intersection of Mill and University Streets. They obtained the following data. Vehicles per Minute Observed Frequency Vehicles per Minute Observed Frequency 40 14 53 102 41 24 54 42 57 55 90 43 111 56 81 44 194 57 45 256 58 64 46 296 59 47 378 60 59 48 250 61 50 49 185 62 42 50 171 63 29 51 150 64 52 110 65 BARRIERS 96 18 15 a. Carry out a hypothesis test to find out whether the distribution of data on the number of cars passing through the intersection has a Poisson distribution? Use = 0.05. b. Calculate the p-value for this test