Chapter 11.1, Problem 16BSC

In Exercises 5–20, conduct the hypothesis test and provide the test statistic and the P-value and / or critical value, and state the conclusion.

16. Baseball Player Births In his book Outliers, author Malcolm Gladwell argues that more base-ball players have birth dates in the months immediately following July 31, because that was the age cutoff date for nonschool baseball leagues. Here is a sample of frequency counts of months of birth dates of American-born Major league Baseball players starting with January: 387, 329, 366, 344, 336, 313,313, 503,421,434, 398, 371. Using a 0.05 significance level, is there sufficient evidence to warrant rejection of the claim that American-born Major League Baseball players are born in different months with the same frequency? Do the sample values appear to support Gladwell’s claim?