Abstract
We analyze the observations of 45 oxygen poor extragalactic H II regions obtained by Izotov et al. Based on this analysis we select the 12 best observed objects. We determine their He/H ratio taking into account the optical depth in the He I 3889 Å line, the density structure, and the temperature structure. Using these values we determine the primordial helium abundance. This determination is in very good agreement with that derived by Peimbert, Peimbert, & Ruiz (2000, hereinafter Paper I) on the other hand it is considerably smaller than that derived by Izotov et al. from the same sample of objects. The main difference is due to the treatment of the temperature structure of these objects.