Final answer:
The statement is false because a jury can also result in a mistrial if they cannot unanimously agree on a verdict of guilty or not guilty.
Step-by-step explanation:
The statement that there are only two options for verdicts that a jury can deliver: "guilty" or "not guilty" is false. In the American trial system, if the jury cannot reach a unanimous agreement after extensive deliberation, this may result in a mistrial, which means that the jury could not agree on a verdict, and the case may have to be tried again.
The prosecution and defense present evidence and argument, with the jury's role being to determine whether the evidence proves the defendant's guilt beyond a reasonable doubt. If the jury cannot make such a determination unanimously, it cannot convict, and the jury being unable to agree on a verdict can indeed result in a mistrial.