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 0.05 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? (answer part a-c below)   Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec. Born in America 387 329 368 344 333 314 313 503 418 434 396 371 Foreign Born 102 83 84 83 94 84 59 92 71 101 103 83 a) Test Statistic (round to three decimal places): b) P-Value (round to three decimal places): c) reject/ do not reject, sufficient/insufficient evidence?

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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 0.05 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? (answer part a-c below)

  Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec.
Born in America 387 329 368 344 333 314 313 503 418 434 396 371
Foreign Born 102 83 84 83 94 84 59 92 71 101 103 83

a) Test Statistic (round to three decimal places):

b) P-Value (round to three decimal places):

c) reject/ do not reject, sufficient/insufficient evidence?

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