In: Statistics and Probability
Hockey Birthdays. In 2008, Malcolm Gladwell released his book, Outliers. In the book, Gladwell claims that more professional hockey players are born in January through March than in October through December. The following data is a summary of birth months for a random sample of 196 National Hockey League players.
Birth Month | Number of Players |
January-March | 58 |
April-June | 53 |
July-September | 45 |
October-December | 40 |
Conduct a hypothesis test to determine whether hockey players' birthdays are evenly distributed throughout the year using the stated hypotheses. Let αα = 0.01 and round all numeric results to 4 decimal places.
a. What is the expected value for the number of player birthdays in January - March?
b. Calculate the test statistic for this hypothesis test. ?ztX^2F =
c. Calculate the degrees of freedom for this hypothesis test.
d. Calculate the p-value for this hypothesis test. p-value =
e. What is your conclusion using αα = 0.01?
A. Reject H0H0
B. Do not reject H0H0