hypothesize vs infer

hypothesize

verb
  • To assume or assert tentatively on uncertain grounds. 

infer

verb
  • To introduce (something) as a reasoned conclusion; to conclude by reasoning or deduction, as from premises or evidence. 

  • To lead to (something) as a consequence; to imply. 

How often have the words hypothesize and infer occurred in a corpus of books? (source: Google Ngram Viewer )