I've been asked to analyze some data and I wanted to get a second opinion on the way I plan to.

I have a sample of 8000 teachers. For each teacher, I have their Teaching Specialty, Total Number of Nights they worked and Total number of day-time days they worked, following working the previous night.

The quantity of interest is: #total number of day-time days they worked following working the previous night / total number of nights they worked.

I want to report the overall proportion, each proportion for each teaching type and then compare the proportions across teaching type.

I'm a bit confused on how to proceed. My gut tells me to just manually create a new variable by dividing the totals appropriately, then run an ANOVA. Would a Chi Square work here? That's what they had in mind.

Cheers,