The number of cars passing eastbound through the intersection of Mill and University Avenues has been tabulated by a group of civil engineering students. They have obtained the data in the adjacent table:
(a) Does the assumption of a Poisson distribution seem appropriate as a probability model for this process? Use a = 0.05.
(b) Calculate the P-value for this test.

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Vehicles Vehicles Observed Observed per Minute per Minute Frequency Frequency 53 102 40 14 24 41 54 96 42 57 55 90 43 111 56 81 44 194 57 73 45 256 58 64 46 296 59 61 47 378 60 59 48 250 61 50 62 49 185 42 50 171 63 29 51 150 64 18 52 110 65 15