Question

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 177 National Hockey League players.

Birth Month Number of Players
January-March 53
April-June 47
July-September 41
October-December 36

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.
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 α = 0.01?

Answer 1

Details in explaination.

Explanation:

In order to get the results to our question, lets understand the terms used.

Hypothesis testing is an act in statistics whereby an analyst tests an assumption regarding a population parameter.

In statistics, the p-value is the probability of obtaining results as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct.

The expected value can be defined as a predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.

Now to our calculations kindly check attachment for details.