botch vs fail

botch is a noun but fail is not a noun.

Word	Noun	Adjective	Verb	Adverb
botch	Yes	No	Yes	No
fail	No	No	Yes	No

As verbs, fail is a hypernym of botch; that is, fail is a word with a broader meaning than botch:

Other hypernyms of botch include go wrong, miscarry.

botch (noun)	fail (noun)
an embarrassing mistake

botch (verb)	fail (verb)
make a mess of, destroy or ruin	stop operating or functioning
	deteriorate
	prove insufficient
	disappoint, prove undependable to; abandon, forsake
	become bankrupt or insolvent; fail financially and close
	be unsuccessful
	fail to get a passing grade
	fail to do something; leave something undone
	judge unacceptable
	be unable
	fall short in what is expected