In: Statistics and Probability
An author argues that more American-born baseball players have birth dates in the months immediately following July 31 because that was the age cutoff date for nonschool baseball leagues. The table below lists months of births for a sample of American-born baseball players and foreign-born baseball players. Using a
0.01
significance level, is there sufficient evidence to warrant rejection of the claim that months of births of baseball players are independent of whether they are born inAmerica? Do the data appear to support the author's claim
Jan. |
Feb. |
March |
April |
May |
June |
July |
Aug. |
Sept. |
Oct. |
Nov. |
Dec. |
||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Born in America |
387 |
326 |
366 |
346 |
336 |
316 |
315 |
505 |
422 |
435 |
396 |
373 |
|
Foreign Born |
100 |
82 |
86 |
83 |
94 |
82 |
59 |
90 |
71 |
100 |
102 |
83 |
Identify the null and alternative hypotheses for this test.
A.
Upper H 0H0:
The frequency of births is dependent of the month.
Upper H 1H1:
The frequency of births is independent of the month.
B.
Upper H 0H0:
The frequency of births is independent of the month.
Upper H 1H1:
The frequency of births is dependent of the month.
C.
Upper H 0H0:
Months of births of baseball players are independent of where they are born.
Upper H 1H1:
Months of births of baseball players are dependent of where they are born.Your answer is correct.
D.
Upper H 0H0:
Months of births of baseball players are dependent of where they are born.
Upper H 1H1:
Months of births of baseball players are independent of where they are born.
Identify the test statistic.
nothing
(Round to three decimal places as needed.)