I have a binary variable (if athlete is the winner or not) and a non-binary quantitative one (participants per country).
Both variables are non-normal and they are heteroscedastic. I read that the test I can use to compare variables like these is Welch's t test. I did it and the p-value was big so I did not rejected the null hypothesis that the means are the same.
The thing is, I would like to get some conclusion out of this: are the variables actually correlated/related? does this prove it? Because by just calling the result "the means are statistically the same", I can't really see how that explains that there is a relationship between the variables (to the case, i don't see how that explains that the number of participants per country and if the athlete is the winner are related).
Can anyone suggest another method to do this if this isn't the correct one? I looked for one but the Welch test was the closest thing I could find given the characteristics of my data.