Final answer:
The statement is false. The jury can still impose the death penalty even if the prosecutor chooses not to seek it.
Step-by-step explanation:
The statement is false. If the prosecutor chooses not to seek the death penalty, it does not mean that the jury cannot impose it. In cases where the death penalty is not pursued by the prosecution, the jury may still have the option to impose it if they believe it is warranted based on the evidence presented in the trial.