Ask HN: Would you accept CEIT graduate for your software engineering job?

CEIT = "Computer Education and Instructional Technology" is in Facutly of Education where I am studying. I am in Faculty of Engineering and paying nearly double of the price. But recently they advertised job opportunities including Software Engineering and Computer Sciences.

Of course one can improve himself and do it but as a recent graduate wise (aka normal person) would you prefer one over another? Or assume insufficient?