Answer
$r_s\gt 0.600$: null hypothesis is rejected.
There is enough evidence to conclude that states with higher percentages of population with at least a bachelor’s degree have higher per capita personal incomes.
Work Step by Step
$H_0: X~and~Y~are~not~associated$ versus $H_1: X~and~Y~are~positively~associated$
See the picture.
$∑d_i^2=0+0+9+1+0+1+1+16+0=28$
$r_s=1-\frac{6∑d_i^2}{n(n^2-1)}=1-\frac{6\times28}{9(9^2-1)}=0.767$
Critical value = 0.600
(According to Table XIV, for n = 9 and α(1) = 0.05)
Since $r_s\gt 0.600$, we reject the null hypothesis.
