A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 158 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month at the 0.05 level of significance. Observed Data:

Month Jan Feb March Apr May Jun Jul Aug Sep Oct Nov Dec
Fatal Accidents 9 9 7 9 13 8 12 14 8 15 7 9

Required:
a. What is the correct way to state the null and alternate hypotheses.
b. What is the expected value for each month?
c. If the p-value is 0.667, what is the correct decision for this test? What is your conclusion, in context? Explain your reasoning.