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A professor analyzed the responses of two randomly selected samples of students. The first sample had...

A professor analyzed the responses of two randomly selected samples of students. The first sample had 50 students from a population of Biology freshmen. The second sample had 40 students from a population of Chemistry freshmen. The professor found that 20 of the 50 biology freshmen surveyed had already taken a math course, and 20 of the 40 chemistry freshmen surveyed had already taken a math course. However, the professor believes that the proportion of the population of Biology freshmen who had already taken a math course is the same as the proportion of the population of Chemistry freshmen who had already taken a math course. At the 10% level of significance, test the professor’s belief.

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