Baseball Player Births In his book outliers, author Malcolm Gladwell argues that

Question

Baseball Player Births In his book outliers, author Malcolm Gladwell argues that more baseball players have birthdates in the months immediately following July 31, because that was the cutoff date for nonschool baseball leagues. Here is a sample of frequency counts months of birthdates of American-born major league baseball players starting with level, 387, 329, 366, 344, 336, 313, 313, 503, 421, 434, 398, 37 1 Using a 0.05 significance level is there sufficient evidence to warrant rejection of the claim American-born major values baseball players are born that league appear to support in different months with the same frequency? Do the sample values appear to support Gladwell's claim?

Explanation / Answer

null hypothesis: American born major league players are born in different month with same frequency

Alternate hypothesis: American born major league players are born in different month with different frequency

from above test stat =93.0718

and degree of freedom =12-1=11 for which p value=0.0000

as p value is less then 0.05 level we reject null hypothesis

and conclude that   American born major league players are born in different month with different frequency

observed Expected Chi square Probability O E=total*p =(O-E)^2/E January 1/12 387.00 376.25 0.31 February 1/12 329.00 376.25 5.93 March 1/12 366.00 376.25 0.28 April 1/12 344.00 376.25 2.76 May 1/12 336.00 376.25 4.31 June 1/12 313.00 376.25 10.63 July 1/12 313.00 376.25 10.63 August 1/12 503.00 376.25 42.70 September 1/12 421.00 376.25 5.32 October 1/12 434.00 376.25 8.86 November 1/12 398.00 376.25 1.26 December 1/12 371.00 376.25 0.07 4515 4515 93.0718

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