God Controls Natural Law
When God sparked the big bang 13.7 billion years ago He also set the universal constants such as gravity, as well as establishing natural law. Since God is outside of natural law and established it He can suspend it whenever he chooses. So, we can describe supernatural events as very rare but possible. We can formulate the argument as follows:
Premise 1--God created the universe ex nihilo and governs natural laws.
Premise 2--If God governs natural laws, God can suspend natural laws. (From premise 1)
Premise 3--A suspension of natural laws is a definition of a miracle.
Therefore--If the God Christianity exists, He can perform miracles.*
Human Testimony Can Provide Reasonable Proof That a Miracle Occurred
For first, there is not to be found, in all history, any miracle attested by a sufficient number of men, of such unquestioned goodsense, education, and learning, as to secure us against all delusion in themselves; of such undoubted integrity, as to place them beyond all suspicion of any design to deceive others; of such credit and reputation in the eyes of mankind, as to have a great deal to lose in case of their being detected in any falsehood; and at the same time, attesting facts performed in such a public manner and in so celebrated a part of the world, as to render the detection unavoidable: all which circumstances are requisite to give us a full assurance in the testimony of men.
Is this true? I believe that there is sufficient evidence to show that the resurrection of Jesus Christ was a true miracle. All Gospel accounts state that Jesus was crucified, stabbed through the side with a spear; and buried in a tomb by Joseph of Arimathea. There are also multiple attestations of two women discovering that the guarded tomb was empty about three days later and that Jesus began appearing in bodily form to the apostles and hundreds of other people. In 1 Corinthians Paul writes, “He appeared to Cephus, then to the Twelve. Then he appeared to more than five hundred brethren at one time…Then he appeared to James, then to all the apostles. Last of all, as to one untimely born, he appeared to me.” I think hundreds of people witnessing a formerly dead man walking, talking and eating are a sufficient number of witnesses. This great number also shows that this wasn’t a delusion of a few people. It is important to note that All of Jesus’ 12 disciples but John were executed for proclaiming the resurrection of Jesus, the Son of God, so they really believed that Jesus rose from the dead—this was no hoax perpetrated by the apostles. The Apostle Paul, a former enemy of the early church, also suffered persecution for proclaiming the risen Christ.
These were not particularity educated men in the sense the Hume means, but you don’t need to be educated to determine if someone was resurrected. Everyone knows that dead people do not naturally come back to life, so if you see someone executed and buried and then see, hear and touch their reanimated body then it is quite obvious that the person has been miraculously raised from the dead.
Thirdly. It forms a strong presumption against all supernatural and miraculous relations, that they are observed chiefly to abound among ignorant and barbarous nations; or if a civilized people has ever given admission to any of them, that people will be found to have received them from ignorant and barbarous ancestors, who transmitted them with that inviolable sanction and authority, which always attend received opinions.The crucifixion and resurrection occurred within the Roman Empire which was a relatively civilized society.
Hume’s second and fourth arguments confuse probability with possibility. Norman Geisler explains why Hume’s argument fails when he says, “[It] equates quantity of evidence and probability. It says, in effect, that we should always believe what is the most probable. What Hume seems to overlook is that wise people base their beliefs on facts, not simply on odds. Sometime the 'odds' against an event are high (based on past observation), but the evidence for the event is otherwise very good (based on current observation or reliable testimony). Hume's argument confuses quantity of evidence with quality of evidence. Evidence should be weighed, not added." 
We can see that if an omniscient God exists then miracles are possible since God is in control of natural law. Since miracles are rare but possible we weigh human evidence to see if a miracle has occurred. I believe that there is sufficient evidence that the resurrection of Jesus Christ was a real miracle.
* I am grateful to http://www.comereason.org/phil_qstn/phi060.asp for formulating this argument.
1. -Geisler, Norman "Miracles & The Modern Mind" In Defense of Miracles Geivett & Habermas, Ed.
Intervarsity Press, Downers Grove, Ill 1997 p.79 via http://www.comereason.org/phil_qstn/phi060.asp