If extragalactic redshifts are cosmological, then one would expect extragalactic sources to appear fainter with increasing redshift. I show that apparent V magnitude and redshift indeed are correlated in a randomly selected sample of 150 quasars. As a demonstration of the soundness of this test, I applied it to a random sample of 25 "normal" galaxies, showing that their V magnitudes and redshifts are correlated as well. Additionally, if the redshifts of galaxies are cosmological, then one would expect angular diameters of galaxies to decrease with increasing redshift. I demonstrated that this is the case with the sample of 25 galaxies. Therefore, the hypothesis that extragalactic redshifts are cosmological is strongly supported. I encourage fellow recent creationists to abandon their doubts that extragalactic redshifts are cosmological and better focus their work on explaining extragalactic redshifts in terms of a biblical cosmology.