Purity and completeness as a function of p_any values, defined as in Salvato et al. (2022). Purity and completeness for the sample with soft X-ray detections are shown as blue solid and dashed lines, respectively. Purity and completeness for the hard-only sample are shown as orange solid and dashed lines, respectively. The horizontal grey line shows a purity of 0.9, and the vertical dotted lines in corresponding colours indicate the p_any values for the 90% purity cuts.