'Conviction' in the Bible

When the rulers and Council members had threatened them further, they let them go, finding no way to punish them because [of their fear] of the people, for they were all praising and glorifying and honoring God for what had happened;

[Philip said to him, “If you believe with all your heart, you may.” And he replied, “I do believe that Jesus Christ is the Son of God.”]

and He made no distinction between us and them, cleansing their hearts by faith [in Jesus].

because He has set a day when He will judge the inhabited world in righteousness by a Man whom He has appointed and destined for that task, and He has provided credible proof to everyone by raising Him from the dead.”

Paul said, “John performed a baptism of repentance, continually telling the people to believe in Him who was coming after him, that is, [to confidently accept and joyfully believe] in Jesus [the Messiah and Savior].”