  There exists a considerable amount of research claiming a puzzling
anti-correlation between the neutrino detection rate at the Homestake
experiment and indicators of solar activity such as the sunspot number, giving
rise to explanations involving the hypothesis of a neutrino magnetic moment. It
is argued here that the claimed significant anti-correlation is due to a
statistical fallacy. A proper test based on certain optimality criteria fails
to detect a significant time variation of the neutrino flux in concert with the
sunspot number, providing evidence that the observations are consistent with no
correlation between the two series.
