  We calculate with Monte Carlo the goodness of fit and the confidence level of
the standard allowed regions for the neutrino oscillation parameters obtained
from the fit of the total rates measured in solar neutrino experiments. We show
that they are significantly overestimated in the standard method. We also
calculate exact allowed regions with correct frequentist coverage. We show that
the exact VO, LMA and LOW regions are much larger than the standard ones and
merge together giving an allowed band at large mixing angles for all Delta m^2
> 10^{-10} eV^2.
