Question

A book claims that more hockey players are born in January through March than in October through December. The following data show the number of players selected in a draft of new players for a hockey league according to their birth month. Is there evidence to suggest that hockey​ players' birthdates are not uniformly distributed throughout the​ year? Use the level of significance

alpha equalsα=0.05.

Birth Month	Observed Count	Expected Count
​January-March	59	45.5
​April-June	59	45.5
​July-September	29	45.5
​October-December	35	45.5

Answer 1

The test statistic here is computed as a chi square test statistic computed as:

For n - 1 = 3 degrees of freedom, we get from the chi square tables here that:

As the p-value here is 0.0009 < 0.05 which is the level of significance, therefore the test is significant and we can reject the null hypothesis here and conclude that there is enough evidence that hockey​ players' birthdates are not uniformly distributed throughout the​ year