It is believed that, due to the ages in which children are enrolled in schools, certain children have an advantage in sports due to their birth month. To that end, we test whether birth months of professional hockey players are evenly distributed across months of the year. We take a sample of 84 professional hockey players and test, to a significance level of a = 0.05, whether there exists evidence that some birth months are more common than others. Age Ranges January February March April May June July August September October November December Observed 5 5 4 7 9 8 12 8 4 9 7 6 Data Expected 7 7 7 7 7 7 7 7 7 7 7 7 counts a. We use a x² goodness-of-fit test to do our hypothesis test. How many degrees of freedom does the sampling distribution have? b. What is the test statistic (please write to at least three decimal places)? c. What is the p-value (please write to at least four decimal places)?

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