Final answer:
MAP kinase is not responsible for phosphorylating itself, so the statement is false.
Step-by-step explanation:
The statement that MAP kinase is important for phosphorylating MAP kinase is false. MAP kinase, also known as mitogen-activated protein kinase, is actually phosphorylated by a protein called MAP kinase kinase (MEK), not by itself. MEK activates MAP kinase by phosphorylating it, which then allows MAP kinase to carry out its cellular functions.