Sheryl Sandberg claims to speak for working women. Especially poorer working women, according to the spokeswoman for Sandberg’s Lean In foundation: “The principles of Lean In are just as, if not more, important to women with lower incomes.”

So now comes Sandberg’s big test: Will she stand up for, and with, the women workers at a Hilton DoubleTree hotel in Cambridge, which is on a property owned by Harvard University? The workers want to be represented by a union. The hotel is resisting them. And Harvard isn’t helping.

Sandberg is going to be at Harvard this week, delivering a Class Day speech. The female employees at the hotel have asked to meet with her.