In fall semester 2014, there were 27,972 students earning credit at a college in the Collin County Community College District in Texas. There were 9790 full-time students and 18,182 part-time students.
a. What proportion of the students were full-time? Round your result to the third decimal place.
b. By using the numbers 1 through 9790 to represent the full-time students and the numbers 9791 through 27,972 to represent the part-time students, the author used technology to randomly select 1000 students without replacement. The random sample consisted of 380 full-time students and 620 part-time students. What proportion of the sample were full-time students?
c. Does your result from part (b) equal your result from part (a)? If no, is that due to sampling or nonsampling error?
d. If we did not know the proportion of the population who are full-time students and used the result we found in part (b) to estimate it, would that be part of descriptive statistics or inferential statistics? Explain.