SCENARIO 8-8
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 Scenario 8-8,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 a population proportion does not require the distribution of the number of students who own a personal computer to be normal. It relies on the sample proportion and the Central Limit Theorem, which states that the sampling distribution of the sample proportion will be approximately normal if the sample size is large enough, which is generally considered to be the case when np and n(1-p) are both greater than 5.

SCENARIO 8-8 the President of a University Would Like to Estimate the Estimate