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We use ultradeep 20 cm data from the Karl G. Jansky Very Large Array and 850micron data from SCUBA-2 and the Submillimeter Array of an 124 arcmin^2 regionof the Chandra Deep Field-north to analyze the high radio power (P_20cm>10^31erg s^-1 Hz^-1) population. We find that 20 (42+/-9%) of the spectroscopicallyidentified z>0.8 sources have consistent star formation rates (SFRs) inferredfrom both submillimeter and radio observations, while the remaining sourceshave lower (mostly undetected) submillimeter fluxes, suggesting that activegalactic nucleus (AGN) activity dominates the radio power in these sources. Wedevelop a classification scheme based on the ratio of submillimeter flux toradio power versus radio power and find that it agrees with AGN andstar-forming galaxy classifications from Very Long Baseline Interferometry. Ourresults provide support for an extremely rapid drop in the number of high SFRgalaxies above about a thousand solar masses per year (Kroupa initial massfunction) and for the locally determined relation between X-ray luminosity andradio power for star-forming galaxies applying at high redshifts and high radiopowers. We measure far-infrared (FIR) luminosities and find that some AGNs lieon the FIR-radio correlation, while others scatter below. The AGNs that lie onthe correlation appear to do so based on their emission from the AGN torus. Wemeasure a median radio size of 1.0+/-0.3 arcsecond for the star-forminggalaxies. The radio sizes of the star-forming galaxies are generally largerthan those of the AGNs.

A Submillimeter Perspective on the GOODS Fields (SUPER GOODS) - II. The High Radio Power Population in the GOODS-N