Answer: God has given proof that all men will be judged on the day He has established by raising Jesus from the dead, (verse 31).
MORE INFORMATION AND/OR OTHER SCRIPTURE REFERENCES:
Because Jesus conquered death, ALL people will be resurrected to be judged with justice by God's appointed One--Jesus.
Acts 10:39-41: [Peter says of Jesus,] "We are witnesses of everything He did in the country of the Jews and in Jerusalem. They killed Him by hanging Him on a tree, but God raised Him from the dead on the third day and caused Him to be seen. He was not seen by all the people, but by witnesses whom God had already chosen--by us who ate and drank with Him after He rose from the dead."
1 Corinthians 6:14: "By His power God raised the Lord from the dead, and He will raise us also."
1 Corinthians 15:12-19: "But if it is preached that Christ has been raised from the dead, how can some of you say that there is no resurrection of the dead? If there is no resurrection of the dead, then not even Christ has been raised. And if Christ has not been raised, our preaching is useless and so is your faith. More than that, we are then found to be false witnesses about God, for we have testified about God that He raised Christ from the dead. But He did not raise Him if in fact the dead are not raised. For if the dead are not raised, then Christ has not been raised either. And if Christ has not been raised, your faith is futile; you are still in your sins. Then those also who have fallen asleep in Christ are lost. If only for this life we have hope in Christ, we are to be pitied more than all men."