2. The Dean of Students at the University of Waterloo wanted toestimate the proportion of students who are willing to reportcheating by fellow students. So, her staff surveyed the 172students currently enrolled in the introduction to biology class.The students were asked, “Imagine that you witness two studentscheating on a quiz. Would you tell the professor?” 19 of thesurveyed students responded “yes.” (11 points total)
a. Using these data, calculate the 90% confidence interval for theproportion of all students at the University of Waterloo that wouldreport cheating. (4 points)
b. Interpret the confidence interval from part “a” in a sentence.Interpret in terms of percentages, rather than proportions. (4points)
c. Is it appropriate to use these data to estimate the proportionof all students at the university that would report cheating? Whyor why not? (3 points)
