2023. Bank A Bank B Consider the following contingency table with the approved loans in August Consumer loans (approved out of total) Mortgage loans (approved out of total) p of 500 4 of 20 3000 of 4000 q of 1000 It is declared that the proportion of all approved loans is higher for Bank B, but Bank A has higher approval rates for both types of loans, if the proportions are considered separately for these types. Can this be possible? If yes, for what values of p and q? (hint: for the last question it is sufficient to characterize the set of admissible values for p and q)