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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Answer #1

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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