Should parents decide/influence on what major their child must take in college?

If you and your sons want to get some idea of the job and career prospects associated with various majors (which is definitely a good thing to be aware of, but should not be the only aspect of choosing a major – interest and ability matter a lot in terms of how well the student will do in the major and any associated job or career), consider looking at some of the more detailed career surveys that colleges have:

https://career.berkeley.edu/Survey/2015Majors
https://careers.calpoly.edu/search.php
http://www.career.vt.edu/scripts/PostGrad2006/Report/PostGraduationReportWelcome.asp?Cohort=2014-2015

However, be aware that job and career prospects can be affected by economic and industry cycles (as you know from the oil industry).