a report classified 817 fatal bicycle accidents according to the month in which the accident occurred resulting in the following table. jan. 45, feb. 46, mar. 42, apr 62, may 67, june 90, july 94, aug 79, sept 89, oct 84, nov 66, dec 53

to determine if some months are riskier than others use the given data to test the null hypothesis Ho:P1 =1/12, P2 = 1/12,....,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 a = 0.01. find the test statistics and P value. use SALT round your test statistic to three decimal places and your P value to four decimal places.

b. the null hypothesis in part a specifies that fatal accidents are equally likely to occur in any of the 12 months. but not all months have the same amount of days. what null and alternative hypothesis would you test if you wanted to take differing month lengths into account? assume this data is not collected during leap year. 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 the probabilities as fractions. Ho: P1=_______ thru P12 = _______.

c. test the hypothesis proposed in part b using a 0.05 significance level. round your test statistic to three decimal places and your P value to four decimal places.