Properties of the radio AGN sample. (a): L_1.4 GHz vs L_[O III] for the full radio AGN sample, with [O III] detections and non-detections shown separately. In the case of [O III] non-detections, the contour plot shows the upper limits for L_[O III]. The green hatched region marks the luminosity space occupied by the control sample selected from Mullaney et al. (2013), described in Appendix B. The dashed and dotted lines show the radio luminosity expected from the interaction of AGN-driven winds with the ISM from the model of Nims et al. (2015), for 1% and 10% of the shock energy going into relativistic electrons. (b) Distributions of host galaxy properties for the peaked and non-peaked radio AGN in the low redshift (0.02 < z < 0.4) sample. Only the [O III] detections are shown. Vertical lines show the mean values of the distributions. The same plot for the high redshift sample is shown in Fig. C.2.