Does having a less common declared major impact admission chance?

College Raptor (■■■■■■■■■■■■■■■■■) does a pretty good job at this.

For a particular school, you can see a list of majors, number of students (and percentage relative to the total student body) graduating with that major, as well as #/% male/female.

For a particular major, it will list the schools that offer that major and the number of students (and percentage relative to the total student body) who have graduated with that major.