premise: Five students—Manolo, Nadia, Owen, Peng, and Rana—are each to deliver exactly one speech. Speeches are on exactly one of two topics—friendship and liberty. Each student has only one major: two major in geology, two in history, and one in journalism. The following conditions must apply: Exactly two of the students speak on friendship. A geology major and a history major speak on friendship. Manolo speaks on friendship. Rana speaks on liberty. Neither Peng nor Rana is a geology major. Nadia is a geology major. Rana must be a journalism major if which one of the following is true?
hypothesis: Owen is a geology major and Peng is a history major.