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 was 0.700.
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 falls between 0.648 and 0.752.

Question

Quizplus · Accepted Answer

The correct interpretation of a confidence interval is about the population, not the sample. Therefore, the interval gives us a range (0.648 to 0.752) within which we are 95% confident the true proportion of all college students considering themselves full-time students falls.

A Study Was Conducted to Determine What Proportion of All