Given the task definition and input, reply with output. You are given a context, a pronoun, and a noun in this task. The given pronoun is shown in the context within parentheses. You should determine if the pronoun refers to the given noun or not. Please answer with "True" and "False".

Anna did a lot better than her good friend Lucy on the test because (she) had studied so hard. <sep> Pronoun:she <sep> Noun: Lucy
False