A particular report classified 721 fatal bicycle accidents according to the month in which the accident occurred, resulting in the accompanying table. Number of Accidents 37 Month January February March April May June July August September October November December 31 44 60 79 73 99 85 63 66 44 40 (a) Use the given data to test the null hypothesis Ho: P₁1/12, P21/12, P12 1/12, where p₁ is the proportion of fatal bicycle accidents that occur in January, P₂ is the proportion for February, and so on. Use a significance level of .01. (Round your value to two decimal places, and round your P-value to three decimal places.) P-value-[ What can you conclude? There is sufficient evidence to reject Ho O There is insufficient evidence to reject Ho. (b) The null hypothesis in Part (a) specifies that fatal accidents were equally likely to occur in any of the 12 months. But not all months have the same number of days. What null and alternative hypotheses would you test to determine if some months are riskier than others if you wanted to take differing month lengths into account? O Ho: P: 30/365, P230/365, P12-30/365 H₂: At least one of the true category proportions differs from the hypothesized value. O Ho: P1 31/365, P228/365, P12 - 31/365 H₂: All of the true category proportions differ from the hypothesized values. Ho: P1 31/365, P228/365, P12 - 31/365 H₂: At least one of the true category proportions differs from the hypothesized value. O Ho: P₁ 30/365, P2 30/365, P12 30/365 H₂: All of the true category proportions differ from the hypothesized values. (c) Test the hypothesis proposed in Part (b) using a .05 significance level. (Round your value to two decimal places, and round your P-value to three decimal places.) ²- P-value-