goodness of fit tests

A particular report classified 716 fatal bicycle accidents according to the month in which the accident occurred, resulting in the accompanying table.
Month Number of Accidents
January 36
February 33
March 43
April 59
May 79
June 73
July 96
August 84
September 64
October 65
November 43
December 41
(a) Use the given data to test the null hypothesis H0: 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 .01. (Round your χ2 value to two decimal places, and round your P-value to three decimal places.)
χ2 =
Correct: Your answer is correct.
P-value =
Correct: Your answer is correct.

What can you conclude?
There is sufficient evidence to reject H0.
There is insufficient evidence to reject H0.
Correct: Your answer is correct.

(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?
H0: p1 = 30/365, p2 = 30/365, ... , p12 = 30/365
Ha: At least one of the true category proportions differs from the hypothesized value.
H0: p1 = 30/365, p2 = 30/365, ... , p12 = 30/365
Ha: All of the true category proportions differ from the hypothesized values.
H0: p1 = 31/365, p2 = 28/365, ... , p12 = 31/365
Ha: At least one of the true category proportions differs from the hypothesized value.
H0: p1 = 31/365, p2 = 28/365, ... , p12 = 31/365
Ha: All of the true category proportions differ from the hypothesized values.
Correct: Your answer is correct.

(c) Test the hypothesis proposed in Part (b) using a .05 significance level. (Round your χ2 value to two decimal places, and round your P-value to three decimal places.)
χ2 = I need help with just this part
Incorrect: Your answer is incorrect.
P-value =
Correct: Your answer is correct.

What can you conclude?
There is sufficient evidence to reject H0.
There is insufficient evidence to reject H0.
Correct: Your answer is correct.

You may need to use the appropriate table in Appendix A to answer this question.