A study was conducted to determine what proportion of all college students considered themselves as full-time students. A random sample of 300 college students was selected and 210 of the students responded that they considered themselves full-time students. A computer program was used to generate the following 95% confidence interval for the population proportion: (0.64814, 0.75186). Which of the following practical interpretations is correct for this confidence interval?
A) We are 95% confident that the percentage of all college students who consider themselves full-time students was 0.700.
B) We are 95% confident that the percentage of the 300 students who responded that they considered themselves full-time students falls between 0.648 and 0.752.
C) We are 95% confident that the percentage of all college students who consider themselves full-time students falls between 0.648 and 0.752.
D) We are 95% confident that the percentage of the 300 students who responded that they considered themselves full-time students was 0.700.

Question

Quizplus · Accepted Answer

The confidence interval provides an estimate for the population proportion, not just the sample. Thus, it indicates that we are 95% confident that the true proportion of all college students who consider themselves full-time falls within the interval.

A Study Was Conducted to Determine What Proportion of All