Question

Baseball Player Births. In his book Outliers, author Malcolm Gladwell argues that more American-born baseball players have birthdates in the months immediately following July 31 because that was the cutoff date for non-school 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? Jan Feb March Apr May June July Aug Sept Oct Nov Dec Total Born in America 387 329 366 344 336 313 313 503 421 434 398 371 4515 Foreign Born 101 82 85 82 94 83 59 91 70 100 103 82 1032 Total 488 411 451 426 430 396 372 594 491 534 501 453 5547 Expected E 1 E 2 E 3 E 4 E 5 E 6 E 7 E 8 E 9 E 10 E 11 E 12 Born in America 397.209 334.535 367.093 346.744 350.000 322.326 302.791 483.488 399.651 434.651 407.791 368.721 Foreign Born 90.791 76.465 83.907 79.256 80.000 73.674 69.209 110.512 91.349 99.349 93.209 84.279 (O-E)^2/E Born in America 0.2624 0.0916 0.0033 0.0217 0.5600 0.2698 0.3442 0.7874 1.1404 0.0010 0.2351 0.0141 Foreign Born 1.1480 0.4006 0.0142 0.0950 2.4500 1.1804 1.5060 3.4449 4.9894 0.0043 1.0284 0.0616 Total= 1.4104 0.4922 0.0175 0.1167 3.0100 1.4502 1.8502 4.2323 6.1298 0.0052 1.2635 0.0757 20.054 1. What is the test statistic? 2. What are the critical value(s)? 3. What is the p-value (use technology)? 4. What is your conclusion about the claim? 5. Do the data support Gladwell's claim?

          Baseball Player Births. In his book Outliers, author Malcolm Gladwell argues that more American-born baseball players have birthdates in the months immediately following July 31 because that was the cutoff date for non-school 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?

Jan Feb March Apr May June July Aug Sept Oct Nov Dec Total
Born in America 387 329 366 344 336 313 313 503 421 434 398 371 4515
Foreign Born 101 82 85 82 94 83 59 91 70 100 103 82 1032
Total 488 411 451 426 430 396 372 594 491 534 501 453 5547
Expected E 1 E 2 E 3 E 4 E 5 E 6 E 7 E 8 E 9 E 10 E 11 E 12
Born in America 397.209 334.535 367.093 346.744 350.000 322.326 302.791 483.488 399.651 434.651 407.791 368.721
Foreign Born 90.791 76.465 83.907 79.256 80.000 73.674 69.209 110.512 91.349 99.349 93.209 84.279
(O-E)^2/E
Born in America 0.2624 0.0916 0.0033 0.0217 0.5600 0.2698 0.3442 0.7874 1.1404 0.0010 0.2351 0.0141
Foreign Born 1.1480 0.4006 0.0142 0.0950 2.4500 1.1804 1.5060 3.4449 4.9894 0.0043 1.0284 0.0616
Total= 1.4104 0.4922 0.0175 0.1167 3.0100 1.4502 1.8502 4.2323 6.1298 0.0052 1.2635 0.0757 20.054

1. What is the test statistic?
2. What are the critical value(s)?
3. What is the p-value (use technology)?
4. What is your conclusion about the claim?
5. Do the data support Gladwell's claim?

Baseball Player Births. In his book Outliers, author Malcolm Gladwell argues that more American-born baseball players have birthdates in the months immediately following July 31 because that was the cutoff date for non-school 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?

Jan Feb March Apr May June July Aug Sept Oct Nov Dec Total
Born in America 387 329 366 344 336 313 313 503 421 434 398 371 4515
Foreign Born 101 82 85 82 94 83 59 91 70 100 103 82 1032
Total 488 411 451 426 430 396 372 594 491 534 501 453 5547
Expected E 1 E 2 E 3 E 4 E 5 E 6 E 7 E 8 E 9 E 10 E 11 E 12
Born in America 397.209 334.535 367.093 346.744 350.000 322.326 302.791 483.488 399.651 434.651 407.791 368.721
Foreign Born 90.791 76.465 83.907 79.256 80.000 73.674 69.209 110.512 91.349 99.349 93.209 84.279
(O-E)^2/E
Born in America 0.2624 0.0916 0.0033 0.0217 0.5600 0.2698 0.3442 0.7874 1.1404 0.0010 0.2351 0.0141
Foreign Born 1.1480 0.4006 0.0142 0.0950 2.4500 1.1804 1.5060 3.4449 4.9894 0.0043 1.0284 0.0616
Total= 1.4104 0.4922 0.0175 0.1167 3.0100 1.4502 1.8502 4.2323 6.1298 0.0052 1.2635 0.0757 20.054

1. What is the test statistic?
2. What are the critical value(s)?
3. What is the p-value (use technology)?
4. What is your conclusion about the claim?
5. Do the data support Gladwell's claim?

Added by Sharon G.

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