The correct answer is False.
Explanation
In the sentence "While the princess rested, a great festival was being arranged in her honor" there are an independent clause and a dependent clause. This can be established because the clause "a great festival was being arranged in her honor" is an independent clause, because it is a complete sentence that makes sense by itself and does not need another sentence for the reader to be able to understand. Additionally, the clause "while the princes rested" is a dependent clause because it must be complemented with the other sentence so that the reader can understand it. According to the above, the "while the princess rested" clause is a dependent clause.