Hypothesis Tests · Hard problem

A two-sided $z$ test of $H_0: \mu = 120$ at level $\alpha = 0.01$ uses the critical value $z^* = \dfrac{322}{125}$. A sample of $64$ (population standard deviation $20$) gives $\bar x = \dfrac{225}{2}$. Is $H_0$ rejected? Answer reject or fail to reject.