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?
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?
Step by step
Solved in 5 steps with 5 images