TABLE 8-10
The president of a university would like to estimate the proportion of the student population that owns a personal computer. In a sample of 500 students, 417 own a personal computer.
-Referring to Table 8-10, it is possible that the 99% confidence interval calculated from the data will not contain the sample proportion of students who own a personal computer.

Question

Quizplus · Accepted Answer

Table 8-10 shows that at a 99% confidence level with a sample size of 500, the margin of error is 0.039. This means that the 99% confidence interval will be the sample proportion plus or minus 0.039. Since the sample proportion of students who own a personal computer is 417/500 = 0.834, the 99% confidence interval would be 0.834 +/- 0.039, which would include the sample proportion. Therefore, it is not possible for the 99% confidence interval calculated from the data to not contain the sample proportion of students who own a personal computer, making option B the correct answer.

TABLE 8-10 the President of a University Would Like to Estimate the Estimate