Did God create people so wicked and perverse?
No. God created them good and in His own image, that is, in true righteousness and holiness, so that they might truly know God their creator, love Him with all their heart, and live with God in eternal happiness, to praise and glorify Him.
Scripture references
Then where does this corrupt human nature come from?
The fall and disobedience of our first parents, Adam and Eve, in Paradise. This fall has so poisoned our nature that we are all conceived and born in a sinful condition.
Scripture references
But are we so corrupt that we are totally unable to do any good and inclined toward all evil?
Yes, unless we are born again by the Spirit of God.