Allocate Between Fast and Safe Books

There are two possible actions. Aggressive pays 9 in the good state and -6 in the bad state. Defensive pays 5 in the good state and 1 in the bad state. The good state has prior probability $\frac{1}{2}$. Before acting, you may see a binary signal that is correct with probability $\frac{3}{4}$. What is the value of observing the signal, and which action should you take after a good signal and after a bad signal?