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In: Statistics and Probability

An author argues that more​ American-born baseball players have birth dates in the months immediately following...

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 in​America? 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.)

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