Let's start with an easy example.
Your brother is sick. (statement - "your brother" is the subject)
Is your brother sick? (question - "your brother" is the subject)
Your brother is an engineer. (statement - "your brother" is the subject, "an engineer" is the predicate)
Is your brother an engineer? (question - "your brother" is the subject, "an engineer" is the predicate)
Your favorite story is "A Sound of Thunder." (statement - "your favorite story" is the subject, "A Sound of Thunder" is the predicate)
Is your favorite story "A Sound of Thunder." (question - "your favorite story" is the subject, "A Sound of Thunder" is the predicate)
Your favorite story in that book is "A Sound of Thunder." (statement - "your favorite story in that book" is the subject, "A Sound of Thunder" is the predicate)
Is your favorite story in that book "A Sound of Thunder." (question - "your favorite story in that book" is the subject, "A Sound of Thunder" is the predicate)