Espero que los consejos __ correctos translates to "I hope the tips [blank] correct."
Logically, the word "are" should go in the blank. "Are" is a form of "to be", of which the Spanish infinitive is ser. You must conjugate ser for the subject of the sentence - los consejos. This subject is plural and masculine. The plural masculine form of ser in this tense is estén.
Espero que los consejos estén correctos.