A report classified fatal bicycle accidents according to the month in which the accident occurred, resulting in the accompanying table. Number of Accidents 36 30 41 57 78 72 Month January February March April May June July August September October November December 100 85 64 68 (a) Use the given data to test the null hypothesis Ho: P₁ = 12P2=12P12= 12 where P₁ is the proportion of fatal bicycle accidents that occur in January, P2 is the proportion for Februa p, and so on. Use a significance level of 0.01. 44 38 Calculate the test statistic. (Round your answer to two decimal places.). x² = 1 What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.) P-value= = What can you conclude? O Reject Ho. There is not enough evidence to conclude that fatal bicycle accidents are not equally likely to occur in each of the months. Reject H. There is convincing evidence to conclude that fatal bicycle accidents are not equally likely to occur in each of the months. O Do not reject Ho. There is convincing evidence to conclude that fatal bicycle accidents are not equally likely to occur in each of the months. O Do not reject Ho. There is not enough evidence to conclude that fatal bicycle accidents are not equally likely to occur in each of the months. Pg P10 | = P11 P12 = (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? (Assume this data was collected during a leap year, 366 days.) Identify the null hypothesis by specifying the proportions of accidents we expect to occur in each month if the length of the month is taken into account. (Enter your probabilities as fractions.) P₁ = P₂ = P3 = P4= Ps = P₁ = P7 = Pa Identify the correct alternative hypothesis. O Ho is true. None of the proportions is not correctly specified under Ho O Ho is not true. None of the proportions is correctly specified under Ho Ho is not true. At least one of the proportions is not correctly specified under Hot O Ho is true. At least one of the proportions is not correctly specified under Ho ✓ (c) Test the hypotheses proposed in part (b) using a 0.05 significance level. Calculate the test statistic. (Round your answer to two decimal places.) x² = [ What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.) P-value= What can you conclude?) O Reject Ho. There is not enough evidence to conclude that fatal bicycle accidents do not occur in the twelve months in proportion to the lengths of the months. Reject Ho. There is convincing evidence to conclude that fatal bicycle accidents do not occur in the twelve months in proportion to the lengths of the months. O Do not reject Ho. There is not enough evidence to conclude that fatal bicycle accidents do not occur in the twelve months in proportion to the lengths of the months. O Do not reject He. There is convincing evidence to conclude that fatal bicycle accidents do not occur in the twelve months in proportion to the lengths of the months.