For a group of children’s sports teams, we want children with a lot of experience, some experience and no experience shared evenly across the teams. In the league, 25 percent of the players have a lot of experience, 60 percent have some experience, and 15 percent are new players with no experience. We want that each team has the same proportion of children with a lot, some or no experience as the league as a whole. Below is the data from a team:   A lot of experience Some experience No experience  Number of players  40 110 30 Test if the team has the same proportion of children with a lot, some or no experience as the league as a whole at a significance level of 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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For a group of children’s sports teams, we want children with a lot of experience, some experience and no experience shared evenly across the teams. In the league, 25 percent of the players have a lot of experience, 60 percent have some experience, and 15 percent are new players with no experience. We want that each team has the same proportion of children with a lot, some or no experience as the league as a whole. Below is the data from a team:

  A lot of experience Some experience No experience 
Number of players  40 110 30

Test if the team has the same proportion of children with a lot, some or no experience as the league as a whole at a significance level of 0.05.

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