I am trying to investigate a moderation effect of a binary categorical moderator variable on the effect of another independent variable (categorical, binary) on a categorical binary outcome variable. With binary categorical I mean that the variables can have basically two values (0 and 1, an event happens/does not happen).

I understood from the website that the PROCESS tool for SPSS can be used? I plugged it in and it showed results of a binary logistic regression but I am unsure if this is correct? I have heard other opinions that PROCESS cannot be used for categorical outcomes like mine? However, Hayes (2012) state: "Perhaps the most obvious limitation of PROCESS is that it is restricted to the analysis of dependent variables (Y) that are properly modeled with OLS or logistic regression, meaning outcomes that are continuous (or at least approximately so or treated as such) or binary. It has no procedures built in for properly modeling categorical mediators or multicategorical outcomes."

Would it be correct to use PROCESS or should it be a logistic regression with interaction effect?

Thank you very much!