1.5 The student senate at a university with 15,000 students is interested in the proportion of students who favor a change in the grading system to allow for plus and minus grades (e.g., B \( +, \mathrm{B}, \mathrm{B}- \), rather than just B). Two hundred students are interviewed to determine their attitude toward this proposed change. What is the population of interest? What group of students consti- tutes the sample in this problem?
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The population of interest in this scenario is all 15,000 students enrolled at the university, as they are the individuals who will be affected by any change to the grading system. The sample, on the other hand, consists of the 200 students who were specifically interviewed to assess their opinions on the proposed change to allow plus and minus grades. This sample is intended to represent the broader population's attitudes regarding the grading system modification. Understanding how to appropriately identify the population and sample can significantly influence the results of your study. It's essential to ensure that your sample is as representative as possible; otherwise, your findings may not accurately reflect the opinions of the entire student body! Always consider factors like random selection and sample size when conducting surveys for the best outcomes.