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Hockey Birthdays. In 2008, Malcolm Gladwell released his book, Outliers. In the book, Gladwell claims that...

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 181 National Hockey League players.

Birth Month Number of Players
January-March 54
April-June 49
July-September 42
October-December 36

a. What is the expected value for the number of player birthdays in January - March?

b. Calculate the test statistic for this hypothesis test.  ? z t X^2 F  =

c. Calculate the degrees of freedom for this hypothesis test.

d. Calculate the p-value for this hypothesis test. p-value =

e. Based on the p-value, we have:
A. very strong evidence
B. little evidence
C. extremely strong evidence
D. some evidence
E. strong evidence
that the null model is not a good fit for our observed data.

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