A "false statement" would be along the lines of saying falsely that he had carried or possessed the pocket knife.
Having to write he made a "bad choice" seems like an apology.
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Having to write he made a "bad choice" seems like an apology.
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I agree but that isn't what is going on. He is being coerced into admitting that he willfully acted or behaved inapproritately by not reporting his friends violation.