/ ˌkredəˈbɪləti; NAmE / noun
[ U ] the quality that sb/sth has that makes people believe or trust them :
to gain / lack / lose credibility
The prosecution did its best to undermine the credibility of the witness.
Newspapers were talking of a credibility gap between what he said and what he did.
—see also street cred
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WORD ORIGIN
mid 16th cent.: from medieval Latin credibilitas , from Latin credibilis , from credere believe.