A Study Was Conducted to Determine What Proportion of All

Multiple Choice

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 the 300 students who responded that they considered themselves full-time students was 0.700.
B) We are 95% confident that the percentage of all college students who consider 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 was 0.700.
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.