Table 3.
Probabilities returned by the statistical test described in Sect. 4.2.
| Relation | Scatter [dex] | Probability |
|---|---|---|
| LX − Lrad | 0.5 | 4 × 10−5 |
| FP | 0.39 | < 10−5 |
| Lopt − Lrad, log R = 1 | 0.42 | < 10−5 |
| Lopt − Lrad, log R = 0 | 0.42 | 0.22 |
| L[OIII]−Lrad | 0.8 | 4 × 10−4 |
Notes. Each value corresponds to the probability that none of the BLAGN is detected in the 3GHz image of the GOODS-N field considering radio luminosities drawn from a Gaussian distribution centered on the expected value returned by the four relations described in Sect. 3.2 and with σ equal to each relation’s scatter. The probabilities for the LX − Lrad and FP relations were computed considering the additional scatter of the relation used to compute the expected X-ray luminosity (σ = 0.27 Duras et al. 2020).
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