I've got a population of individuals who went through a weight loss program. I'm trying to figure out if gender had an effect on whether they lost a certain threshold of weight by the end of the program or not. I think I should be using a Chi Square test, but how do I come up with the expected values?
Something like 74% of participants were female, and the rest were male, and overall across the entire population, 40.57% hit the weight loss threshold, and 52.11% did not.
Would I do something like the US ratio is 0.9787 M : 1.00 F, calculate how many participants would be male or female using that ratio, then apply the 40.57% and 52.11%, and use those as my expected values? I'm a little lost here, any help would be much appreciated.
Or is there another statistical test I should be using in this situation? Would it be better to set my two groups as male and female and compare total weight lost, rather than if they made it above a threshold or not?
I think maybe I'm confused because it's two categorical groups - Male/Female, and Crossed Weight Threshold / Did Not Cross Threshold