Deduce (from evidence) (5)
I believe the answer is:
infer
'deduce from evidence' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for infer that I've seen before include "come to a conclusion" , "Establish by deduction" , "Conjecture" , "Derive as a consequence" , "Conclude or judge from facts" .)