Distributions of the p-values for an HVS observed sample that crossed a spherical DM halo. Panel a: distributions of the p-values (in logarithmic scale) obtained from the KS test comparison of the distribution of one HVS observed sample generated in a spherical DM halo, against each of the n_s = 8 ensembles of n_t = 5000 mock distributions, D_|vϑ|, generated in DM halos with different shapes, as listed in the panel. The vertical dashed lines mark the median p-value of each distribution. Panel b: enlargement of the rightmost part of panel a with the p-value axis in linear scale. The difference in the shape of the distributions in panels a and b is due to the different size of the histogram bins in the logarithmic and linear scales.