Final answer:
True, the prosecution may retry the case against the same defendant if an appeals court reverses a conviction and remands it back to the trial court, unless the defendant was previously acquitted.
Step-by-step explanation:
True, when an appeals court reverses a conviction and remands the case back to the trial court, it implies that the prosecution may have the option to retry the case against the same defendant. This reversal indicates that some legal error necessitated a new trial or further proceedings at the trial court level.
However, this does not apply if the defendant was previously found not guilty, as the principle of double jeopardy would prevent the same defendant from being tried again for the same charges. It is important to note that a reversal does not always result in a new trial; sometimes the appeals court's decision may lead to dismissal of charges or a different resolution.