Test for Independence 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 386 327 365 343 333 315 311 506 419 435 401 371 Foreign Born 100 82 86 82 94 83 59 92 70 100 102 81 a) Test Statistic (round to three decimal places): b) P-Value (round to three decimal places): c) reject/ do not reject, sufficient/insufficient evidence?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Test for Independence

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 386 327 365 343 333 315 311 506 419 435 401 371
Foreign Born 100 82 86 82 94 83 59 92 70 100 102 81

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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