The Bousfield-class formulation of the Dichotomy Conjecture

Let $E$ be a spectrum and let $I$ be the Brown–Comenetz dual of the sphere. Suppose that $E$ has no finite acyclics.

Bousfield-class dichotomy conjecture. Then

$$\langle E\rangle\geq\langle I\rangle.$$

The source says that this formulation is equivalent to the Dichotomy Conjecture. No resolution is given.