Instruction 8-16
The Registrar of a university would like to estimate the proportion of the student population who owns a personal computer. In a sample of 500 students, 417 own a personal computer.
-Referring to Instruction 8-16,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

Since the sample size is large enough (n=500), using the Central Limit Theorem, we can assume that the distribution of sample proportions is approximately normal. Therefore, we can calculate a 99% confidence interval that will likely contain the true proportion of students who own a personal computer. The sample proportion of 417/500 = 0.834 falls within this interval, so it is not possible for the 99% confidence interval to not contain the sample proportion.

Instruction 8-16 the Registrar of a University Would Like to Estimate the Estimate