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,a confidence interval estimate of the population proportion would only be valid if the distribution of the number of students who own a personal computer is normal.

Question

Quizplus · Accepted Answer

The validity of the confidence interval for the population proportion does not depend on the normality of the distribution of the number of students who own a personal computer, but rather on the sample size being large enough for the Central Limit Theorem to apply, which allows the sampling distribution of the sample proportion to be approximately normal.

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