assuming beleifs are under control in some way....
you have a moral obligation to believe the truth.
seek it
weigh evidence objectively
without assent where evidence is not desicive
avoid wishful thinking and self deception
2. there are no moral obligations to beleive the truth.
althought there may be good pragmatic reasons
beleif is personal or your owm business. morality is personal it depends on behavior.

things you can do to avoid false beleifs and gain true ones.
suspend judgement until certain about an issue.
pay attention to certain things.
factors which may shoe bias or skew beleifs
investigating alternative beleif system.

moral obligation to the beleif of truth.
1.dutie.dutie to beleif truth avoid falsehood
2.maximize true beleifs minimize false beleifs. althought utilization of other things might be important.when this produces the most happyness. truth is only as good as a means ot happyness.