We define a sample of 27 radio-excess AGN in the Chandra Deep Field North by selecting galaxies that do not obey the radio/infrared correlation for radio-quiet AGN and star-forming galaxies . Approximately 60 % of these radio-excess AGN are X-ray undetected in the 2 Ms Chandra catalog , even at exposures of \geq 1 Ms ; 25 % lack even 2 \sigma X-ray detections . The absorbing columns to the faint X-ray-detected objects are 10 ^ { 22 } cm ^ { -2 } < N _ { H } < 10 ^ { 24 } cm ^ { -2 } , i.e. , they are obscured but unlikely to be Compton thick . Using a local sample of radio-selected AGN , we show that a low ratio of X-ray to radio emission , as seen in the X-ray weakly- and non-detected samples , is correlated with the viewing angle of the central engine , and therefore with obscuration . Our technique can explore the proportion of obscured AGN in the distant Universe ; the results reported here for radio-excess objects are consistent with but at the low end of the overall theoretical predictions for Compton-thick objects .