Prosecutors cited lack of evidence Tuesday in the May 20 arrest of Carmen Ponder for evading arrest.
Authorities later determined a store parking-lot confrontation, after Ponder passed a vehicle, involved another white man teaching his daughter to drive.
Commerce officials Monday said a review found no wrongdoing by Crews.
Officials say Crews was off-duty, in plainclothes and in the store when he learned of the dispute. Ponder was arrested after allegedly walking away as the chief asked her to remain.
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