There are certain misdemeanors that can be dismissed from your record after completing certain courses in states. If you do nit fight the misdemeanor and choose to complete the course, it is dismissed but you are presumed to be admitting guilt, just as a person that pays a misdemeanor traffic fine without fighting it is presumed to have been guilty of the offense. What is dismissable depends on state law- some states dismiss minor drug offenses, others violent driving, and a small number of states will even dismiss minor domestic violence misdemeanors after completing anger management courses. What was dismissed and why might absolutely matter for these reasons- dismissal does not necessarily mean a case was dismissed at trial.
Anyway, I'm not an adcom or a lawyer, but I did have a friend that had to fight for his respiratory care license because of a dismissed drug charge, a process that cost nearly a year of his life and thousands of dollars, so I err on the side of caution when I hear about these things. He passed a background check for both the program and to work at the hospitals we rotated at, but failed the federal background check required to issue his license. It was one hell of a mess- he was a good kid that had turned his life around and the system tried to tell him to screw himself despite his hard work.