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The Dean of Students at a large university wanted to estimate the proportion of students who...

The Dean of Students at a large university wanted to estimate the proportion of students who are willing to report cheating by fellow students.

So, her staff surveyed 172 students currently enrolled in the introduction to biology class. The students were asked, “Imagine that you witness

two students cheating on a quiz. Would you tell the professor?” 19 of the surveyed students responded “yes.”

  1. Using these data, calculate a 95% confidence interval for the proportion of all students at the university that would report cheating.
  2. Interpret the confidence interval in a sentence.
  3. Is it actually appropriate to use these data to estimate the proportion of all students at the university that would report cheating? Why or why not? (Hint: sampling.)

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