  We present a Monte Carlo analysis in terms of neutrino oscillations of the
total rates measured in solar neutrino experiments in the framework of
frequentist statistics. We show that the goodness of fit and the confidence
level of the allowed regions in the space of the neutrino oscillation
parameters are significantly overestimated in the standard method. We also
present a calculation of 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.
