Christianity can be proved wrong. Well, not in the sense that there is evidence, but that there is an evidence that would prove Christianity wrong (if it existed).
1 Corinthians 15:14-19
14 And if Christ be not risen, then is our preaching vain, and your faith is also vain.
15 Yea, and we are found false witnesses of God; because we have testified of God that he raised up Christ: whom he raised not up, if so be that the dead rise not.
16 For if the dead rise not, then is not Christ raised:
17 And if Christ be not raised, your faith is vain; ye are yet in your sins.
18 Then they also which are fallen asleep in Christ are perished.
19 If in this life only we have hope in Christ, we are of all men most miserable.
In this passage of Scripture we can see that everything we hold true about Jesus and salvation - the Gospel itself - would all be false if the resurrection is false. So first, there is the challenge to anyone who asserts that Christianity is wrong; prove it, if there is any proof Jesus did not rise from the dead, you are right and Christians are wrong. Not only that, but we are of all men most miserable.
However, this same event proves Christianity is true. If Christ is risen; our preaching and faith is not in vain, we are not in our sins, we have hope beyond this life, and it is all men without Him that are most miserable.
Because Jesus Christ died for our sins (paying our fine for breaking God's law) and rose from the dead - we can put all our trust in Him and look forward to the resurrection when He will raise us up into eternal life.