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Magazine Chapter 1: Q 78. (page 50)
Refer to Exercise . We suspect that the more serious soccer players have more arthritis later in life. Do the data confirm this suspicion? Give graphical and numerical evidence to support your answer.
Short Answer
There appears to be a link between top soccer and the development of arthritis.
Step by step solution
Given Information
Given:
| Elite | Non elite | Did not play | |
| Arthritis | 10 | 9 | 24 |
| No Arthritis | 61 | 206 | 548 |
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.
Explanation
Let's start by calculating the table's row and column totals:
| Elite | Non-elite | Did not play | Total | |
| Arthritis | 10 | 9 | 24 | 10+9+24=43 |
| No arthritis | 61 | 206 | 548 | 61+206+548=815 |
| Total | 10+61=71 | 9+206=215 | 24+548=572 | 43+815 |
Divide each number in the table by its column total to find the proportion of people with arthritis or no arthritis for each player group.
| Elite | Non elite | Did not play | |
| Arthritis | 10/71=0.1408 | 9/215=0.0419 | 24/572=0.0420 |
| No arthritis | 61/71=0.8592 | 206/215=0.9581 | 548/572=0.9580 |
Graph with bars
Each bar's width must be the same, and its height must be the same as the proportion in the previous table:
The percentage of elite players with arthritis is significantly greater than the percentage of players with arthritis in the other categories As a result, it appears that top soccer and the development of arthritis are linked.
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