Question

# Data lists number of baseball players with birth dates in the first four months of the...

Data lists number of baseball players with birth dates in the first four months of the year.

 Month January February March April Number of players 387 329 367 345

Find the P-value to test the claim that baseball players are born in the first four months of the year with the same frequency.

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Given :

Data lists number of baseball players with birth dates in the first four months of the year.

 Month January February March April Number of players 387 329 367 345

Hypothesis test :

The null and alternative hypothesis is

Ho : p1 = p2 = p3 = p4 = 1/4 = 0.25

Ha : At least one proportion not equal.

Chi square goodness of fit test :

Expected frequency = n*p

 Month Observed frequency(O) Expected frequency(E) (O-E)^2/E January 387 1428*0.25 = 357 2.521 February 329 357 2.1961 March 367 357 0.2801 April 345 357 0.4034 Total 1428 1428 5.4006

Test statistic :

= (O-E)^2/E = 5.401

Degree of freedom = df = k-1 = 4-1 = 3

P-value :

P-value corresponding to = 5.401 with df = 3 is 0.1447.

So P-value is 0.1447

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