I have an experimental setup where pairs of birds are producing offspring in different treatments. I'm trying to model the total number of offspring that hatched per total number of eggs that were laid (hatching success), which is a proportion, i.e. #Hatchlings/#EggsLaid. I have zero-inflation in the data. What are your thoughts on fitting a Poisson regression model, with the response being #Hatchlings, and an offset term of #Eggslaid. Does this approach make sense?