Question

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 167 National Hockey League players.

Birth Month	Number of Players
January-March	50
April-June	45
July-September	38
October-December	34

Conduct a hypothesis test to determine whether hockey players' birthdays are evenly distributed throughout the year using the stated hypotheses. 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.  ? 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. little evidence
B. very strong evidence
C. strong evidence
D. extremely strong evidence
E. some evidence
that the null model is not a good fit for our observed data.

Answer 1

The statistical software output for this problem is :

Chi-Square goodness-of-fit results: Observed: Oi Expected: All cells in equal proportion N DF Chi-Square P-value 167 3 3.6586826 0.3008 Observed Expected 41.75 41.75 41.75 41.75

Expected value = 41.75

Test statistics is $\chi^2$   = 3.6587

Degrees of freedom = 3

P-value = 0.3008

Conclusion : little evidence