TABLE 8-11
A university wanted to find out the percentage of students who felt comfortable reporting cheating by their fellow students. A surveyed of 2,800 students was conducted and the students were asked if they felt comfortable reporting cheating by their fellow students. The results were 1,344 answered "Yes" and 1,456 answered "no."
-Referring to Table 8-11, it is possible that the 99% confidence interval calculated from the data will not contain the proportion of the student population who feel comfortable reporting cheating by their fellow students.

Question

Quizplus · Accepted Answer

Since the sample size is sufficiently large (i.e. n > 30), we can use the normal distribution to construct a confidence interval. However, there is still a possibility that the calculated interval may not contain the true population proportion with 99% confidence. This is due to the fact that confidence intervals are estimates and are subject to sampling variability.

TABLE 8-11 A University Wanted to Find Out the Percentage of Students