Answer
$r_s\lt 0.600$: null hypothesis is not rejected.
There is not enough evidence to conclude that there is a positive relationship between preseason AP rank and final AP rank.
Work Step by Step
$H_0: X~and~Y~are~not~associated$ versus $H_1: X~and~Y~are~positively~associated$
See the picture.
$∑d_i^2=16+1+16+4+25+49+4+4+9=128$
$r_s=1-\frac{6∑d_i^2}{n(n^2-1)}=1-\frac{6\times128}{9(9^2-1)}=-0.067$
Critical value = 0.600
(According to Table XIV, for n = 9 and α(1) = 0.05)
Since $r_s\lt 0.600$, we do not reject the null hypothesis.
