It will really depend upon the type of Collision coverage you have on your vehicle if you will have to pay your deductible or not. In Michigan there are three basic types of collision coverage: limited, standard and broad form.
Collision coverage is often offered with a deductible. A deductible is the amount you agree to pay for damages to your car before the insurance company pays anything. You do not have to pay the deductible if you have broad form collision coverage and are 50% or less at fault in the accident. Deductibles vary from $50 to $250 or more. The higher the deductible, the lower the cost of your collision coverage.
With Limited Collision Coverage if you are 50% or less at fault than your insurance pays for your vehicles damages. If you have chosen a deductible, your insurance pays the cost of repairs over and above the deductible. You must pay the deductible.
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With Standard Collision Coverage if you are 50% or less at fault than your insurance pays for your vehicles damages, except the deductible that you have chosen. You must pay the deductible.
With Broad Form Collision Coverage if you are 50% or less at fault than your insurance pays for your vehicles damages, your insurance pays. You do not have to pay the deductible.
So with a hit and run accident where your parked car was hit obviously you should be found to be 50% or less at fault and thus if you have Broad Form Collision will not owe a deductible. With the other forms of Collision, Limited and Standard, you would owe your deductible when getting your car repaired. You can read through your policy and speak to your agent if you have questions concerning how to make a claim and if a deductible is due. | 
