And when they had set them in the midst, they asked, "By what power or by what name have you done this?" Then Peter, filled with the Holy Spirit, said to them, "Rulers of the people and elders of Israel: If we this day are judged for a good deed done to a helpless man, by what means he has been made well, let it be known to you all, and to all the people of Israel, that by the name of Jesus Christ of Nazareth, whom you crucified, whom God raised from the dead, by Him this man stands here before you whole.
Acts 4:7-10

Three observations to consider:

First, the question posed by the religious leaders. Were they genuinely seeking to understand? Maybe, but I sincerely doubt it. It is far more likely that the question "By what power or by what name have you done this?" was intended to get Peter to either, (a) admit to being in league with some nefarious power, or (b) align himself with that previously executed “outlaw,” Jesus of Nazareth. These religious power brokers hoped that Peter’s answer would give them justifiable cause to do away with the disciples. Let us, therefore, be wise in discerning the intent of people’s questions.

Second, Peter deflected attention away from himself (as though he had power to heal the sick). Instead, as always, Peter pointed his examiners to Jesus. Let us always point people to Christ, not to ourselves, our experience, our church, our favorite preacher—and most certainly not to our political preferences.

Third, Peter affirmed that the man whose healing was under scrutiny was really healed. The fact of the matter regarding Jesus is that He really does save His people. Saved people and their changed lives are tangible evidence of the power of Christ and the gospel. Given this evidence—and we had better be sure that our lives are changed and changing in order to provide such evidence—we can leave people to either become disciples, or deniers of Christ. Then they will have to answer God (not us) for their decision.