The question is which loss function you have. Most classifiers are created to minimize a 0-1 loss, that is, they assume that the loss of classifying A as B is the same as B and A. If this is really your loss function, you should be happy with classifying all sample as being from the majority group. That is, in your case this silly classifier gets the answer right 700/730 of the times.
So, from a practical point of view and easy way to go is to change your loss function. This can be easily implemented by using plug in classifiers such as logisic regression, where you estimated the probability $P(Y=1|x)$. The usual rule is to compare the estimated probability $\widehat{P}(Y=1|x)$ with $\frac{1}{2}$. This is motivated by the 0-1 loss. Different losses produce different cutoffs. So what you can do is to change this cutoff. Usually setting it to be the prior itself (30/730) gives reasonable results. I sugest using a ROC Curve to define the cutoff.