Question

A particular report from 2004 classified 718 fatal bicycle accidents according to the month in which the accident occurred, resulting in the accompanying table. Number of Month Accidents Month January February 36 31 March 44 April May 60 78 June 75 July August September 96 85 63 October 66 November December 43 41 1/12, T2 1/12, . . . , T12 = 1/12, where T1 is the proportion of fatal (a) Use the given data to test the null hypothesis Ho: T1 = bicycle accidents that occur in January, T2 is the proportion for February, and so on. Use a significance level of 0.01. (Use 2 decimal places.) x2 = P-value interval p 0.001 0.001 s p< 0.01

please answer part a and b

Answer 1

D C A ((Observed-Expected*2)/ Expected Observed-Ex(Observed - Expected)^2 Number of Month Accidents (observe Expected Month 9.49 567.87 -23.83 36 59.83 January 13 89 831 17 31 -28.83 5983 February 3 4.19 250.59 44 -15.83 59.83 March April May 4 0.03 0.17 60 59.83 5.52 330.15 59 83 18.17 78 3 85 230.13 15.17 75 59.83 June 21.87 1308 27 36.17 96 59.83 July 10.59 633.53 25.17 59 83 August September 85 0.17 10.05 59 83 3.17 63 10 064 38.07 6.17 66 59.83 October 11 4 73 283 25 -16.83 59 83 43 November December 12 5.93 354 57 -1883 59 83 41 80.87 718 14 Chi Square X2 = 80.87

round(r8/D8, 2) A ((Observed - Expected)*2)/ Expected Number of Month Accidents (observe Pi Month Observed - Ex (Observed - Expected)^2 Expected 10.27 626 5 January February March April 36 0.085 61.03 -25.03 0.079 11.66 661 62 31 56.722 -25.722 4.75 44 290.02 -17.03 0.085 61.03 0.02 1.26 60 0082 1.124 58.876 4.72 287 98 78 16.97 0.085 61.03 May June 4.42 259.98 75 0.082 58.876 16.124 20.04 941 1222 9 61.03 July August September 34.97 96 0.085 574 56 23.97 85 0.085 61.03 0.29 17.01 4.124 63 0.082 58.876 0.4 24.7 66 4.97 0.085 61.03 October 4.28 0 082 252.05 -15.876 November 43 58 876 6.57 401.2 -20.03 61.03 41 0.085 December 76.83 718 Chi Square X2 76.83 The P-Value is < .00001.