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70% of students at a university live on campus. A random sample found that 31 of...

70% of students at a university live on campus. A random sample found that 31 of 50 male students and 41 of 55 of female students lived on campus. At the .05 level of significance, is there sufficient evidence to conclude that a difference exists between the proportion of male students who live on campus and the proportion of female students who live on campus?

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