Probability distribution function (top panel) and the cumulative distribution function (bottom panel) of the projected angle between the magnetic field and the outflow axes (|PA_outflow −⟨Φ_B⟩|). The dotted blue line is the result of a Monte Carlo simulation of the projection on the plane of the sky of two random 3D parallel vectors with a Gaussian uncertainty of 15° and with a projected Gaussian error of 34° (called 0 deg distribution). The dot-dashed green line is the result of a Monte Carlo simulation of the projection on the plane of the sky of two random 3D perpendicular vectors with a Gaussian uncertainty of 5° and with a projected error of 34° (called 90 deg distribution). The red line is the best combination of the previous two simulations to fit the observed data. Here, both the 0 deg distribution and the 90 deg distribution contribute to the 50%. The dashed black line is the CDF for a completely random orientation of outflows and magnetic fields, i.e., all angular differences are equally likely. The results of the K–S test are listed in Table 3.