The statement could be proved to be fact, but as myself and Excursions pointed out, from just taking the statement with no other external influence it can't be said that the statement is fact. That's how I believe the test was supposed to work. You're supposed to say fact or opinion based on just the statement in front of you.
You don't need any additional information...the choices are Fact or Opinion...we can probably lengthen that to mean "Is the following sentence a statement of fact or of opinion"
"The tuition amounts are expected to rise"...the underlined opinion phrase is in the passive voice, indicating the direct object of the action: "The tuition amount" "are expected" (by an agent, in this case unknown) "to rise". The existence of the passive voice and existence of the agent, known or unknown (and a lack of any modifiers) is what makes this a statement of fact and not opinion because it is a fact that: "the agent is expecting the tuition amount to rise" (the same statement in active voice).
Now whether it's a "True" or "False" statement of fact is another question (which would require tracking down the agent)...but that wasn't the question asked in this exam.