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To be convinced means to be certain of God's direction on an issue. This comes after you have prayed and sometimes fasted over it.
The answer to your prayers or direction as the case maybe can come to you in different ways:
dreams, visions, audible voice, Peace of mind on the issue, word of knowledge and prophecy from God's servant and other occurences/coincidences. God will choose to speak to you via any of these means as he wills.
When you receive such possible answers and directions from any of these means, ensure you pray again for certainty and God will affirm/confirm his word to you by other means.
As long as you are God's child, walking in close relationship with Him, He will always lead you by His spirit in you, You will not be confused. The voice of a stranger, you will not follow.