Most Australian youth-sports leagues separate athletes by birthdate, and the cutoff date is January 1st. Thus, those children born in January and February have some physical advantages in youth sports over those born in November and December. A recent studysuggests that those physical advantages enjoyed early in life impact the likelihood of a child becoming a professional athlete. The table gives the number of Australian-born 2009 Australian Football League players born in different months of the year, as well as the proportion of births expected if the birthdates of the athletes matched the distribution of all births nationally. Is there evidence that the distribution of birthdates of AFL athletes is not the same as the distribution of birthdates nationally?   Birthdates nationally in Australia and for Australian football players   Proportion Actual for Months Nationally AFL players Jan-Mar 0.248 196 Apr-June 0.251 162 Jul-Sep 0.254 137 Oct-Dec 0.247 122

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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  1. Most Australian youth-sports leagues separate athletes by birthdate, and the cutoff date is January 1st. Thus, those children born in January and February have some physical advantages in youth sports over those born in November and December. A recent studysuggests that those physical advantages enjoyed early in life impact the likelihood of a child becoming a professional athlete. The table gives the number of Australian-born 2009 Australian Football League players born in different months of the year, as well as the proportion of births expected if the birthdates of the athletes matched the distribution of all births nationally. Is there evidence that the distribution of birthdates of AFL athletes is not the same as the distribution of birthdates nationally?

 

Birthdates nationally in Australia and for Australian football players

 

Proportion

Actual for

Months

Nationally

AFL players

Jan-Mar

0.248

196

Apr-June

0.251

162

Jul-Sep

0.254

137

Oct-Dec

0.247

122

 

 

 

 

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