Researchers investigated whether there is an association between diet type and cardiovascular fitness in amateur runners. They sampled 60 participants, categorising them by diet type ('Plant-based' or 'Omnivorous') and their cardiovascular fitness level ('High Fitness' or 'Low Fitness') using a standardised VO2 VO_2\,VO2 max threshold. The raw contingency data is summarised in Table 1.
Table 1: Cardiovascular fitness levels by diet type
| High Fitness | Low Fitness | |
|---|---|---|
| Plant-based | 18 | 12 |
| Omnivorous | 10 | 20 |
Table 2: Critical values of Chi-Square (χ2\chi^2χ2) for df=1df = 1df=1
| Significance Level (ppp) | 0.10 | 0.05 | 0.02 | 0.01 |
|---|---|---|---|---|
| Critical value (df=1df = 1df=1) | 2.71 | 3.84 | 5.41 | 6.63 |
Using the calculated Chi-square value of χ2=4.29\chi^2 = 4.29χ2=4.29, write a significance statement for the analysis performed on this data.
