I remember when my D was looking at Columbia for engineering, people were asking whether the admit rate was higher for engineering or non-engineering. They said you have to be careful trying to game the system. Often engineering is self-selecting - the applicant pool has higher stats to begin with - especially in math.
When you look at a particular school’s admit rate for engineering, you have to realize they may have a smaller pool of applicants, but the distribution of grades and scores of those applicants may be different than those of the non-engineering applicant pool. Students with lower grades and scores are often warned away from engineering.