What are my chances of getting a 214(b) refusal?

[duckshooter]

Hi everyone,
I recently got a J1 visa for a summer internship at a reputed company refused.

I have an offer to join an US university for a PhD with full funding in the fall.
If I apply for that F1 visa, will the previous refusal hinder my chances?

What should I do to improve my situation?
Anyone in a similar situation?

[inadmissible]

Why was your J visa application denied?