TABLE 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.
-True or False: Referring to Table 8-8,we are 99% confident that between 79.11% and 87.69% of the student population own a personal computer.

Question

Quizplus · Accepted Answer

Using the confidence interval formula for a proportion (p-hat ± z*sqrt(p-hat(1-p-hat)/n)), with a sample size of n=500 and a sample proportion of p-hat=417/500=0.834, and a 99% confidence level, we get the interval (0.7911, 0.8769). This means we can be 99% confident that the true proportion of the student population that owns a personal computer falls within this range. Therefore, the statement is true.

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