Unless you are a bond aficionado, the answer is probably "no". For residents of states with high personal income taxes, check out the rate on the 5-year Treasury. Last I checked, it was 2.54%. In order to obtain that yield on a fully-taxable retail CD, a CA resident, at a marginal rate of 9.3%, would need a 5-year CD yielding (drumbeat) 2.8%.
Treasuries are exempt from state income taxes.