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A study in Sweden looked at former elite soccer players, people who had played soccer but not at the elite level, and people of the same age who did not play soccer. Here is a two-way table that classifies these individuals by whether or not they had arthritis of the hip or knee by their mid-fifties:

(a) What percent of the people in this study were elite soccer players? What percent had arthritis?

(b) What percent of the elite soccer players had arthritis? What percent of those who had arthritis were elite soccer players?

Short Answer

Expert verified

Part (a) 8.28%and 5.01%respectively.

Part (b) 23.26% elite players and 14.08% elite soccer players.

Step by step solution

01

Part (a) Step 1: Given information

Given table :


EliteNon-eliteDid not play
Arthritis10924
No Arthritis61206548
02

Part (a) Step 2: Concept

When objects need to be displayed in a way that demonstrates the hierarchical structure as well as amount or size, pyramid charts are the ideal choice. This can include positions in management, items sold, and business locations, among other things

03

Part (a) Step 3: Explanation

The two-way tables demonstrate the dangers of playing soccer for individuals based on whe10ther or not they had arthritic hips or knees by the time they were in their fifties.


ArthritisNo arthritisTotal
Elite106171
No elite9206215
Did not play24548572
Total43815858

Individuals who were elite players, no-elite players and those who did not play soccer were classified in a two-way table.

=totalnumberofelitesoccerplayerstotalnumberofsoccerplayers=71/858

Number of professional soccer players==0.082751=0.0828=8.28%

=totalnumberofarthritistotalnumberofsoccerplayers

Proportion of arthritis=43858=0.050117=5.01%

As a result, the percentages of elite soccer players with arthritis are 8.28percent and 5.01percent, respectively.

04

Part (b) Step 1: Explanation

The percentage of elite soccer players who had arthritis was high.

proportionofarthritiswereelitesoccerplayers=totalnumberofarthritiswereelitesoccerplayerstotalnumberofarthritis=1043=0.2326=23.26%

Elite soccer players have the highest rate of arthritis.

As a result, 23.26 percent of those with arthritis were top soccer players, and 14.08 percent of those with arthritis were elite soccer players.

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