I have a confusion matrix as below:
When I use the "caret" package, it uses Fail as the "Positive" class to calculate sensitivity and specificity since it appears first in the row and column. Neither Fail or Pass is more important to me than the other. Still, Intuitively it looks wrong to me as I automatically think of Pass to be the "Positive" class.
What is the industry standard in this case? Should I change my confusion matrix, or keep the confusion matrix as is and change the setting so that Pass is the 'Positive' class?
Or should I leave everything as is, and it's fine to report it this way?