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I am interested in ND students' opinions of Father Jenkins. In 2019, I ask each student whether he or she approves or disapproves of how Jenkins has been handling his position as President of Notre Dame. I find that 75% of students in my sample do not recognize the name "Father Jenkins" and do not provide a response of approve or disapprove. I believe this is a very interesting finding. However, I am working with a fairly small sample so I do not simply report the percentage to be 75%. Instead, I note that "if I were to take 100 additional random samples of 200 students, 95% of the estimates of "do not recognize name" would fall between 69% and 81%." In other words, I am 95% certain that the true population value falls between 69% and 81%. This range of values is known as a
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