Chanel Lewis was accused of killing 30-year-old Karina Vetrano as she ran on a park trail in Howard Beach, Queens, in August 2016.
Prosecutors say Vetrano was sexually abused and strangled. Her father found her body.
Lewis' first trial ended in a hung jury in November.
The Legal Aid Society stresses that Lewis "is presumed innocent."
It says jurors must scrutinize the accuracy and reliability of statements police say they obtained from the defendant, and the reliability of DNA evidence.
Legal Aid also notes that prosecutors have a "burden of proof beyond a reasonable doubt."
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