4.28 A stratified sample. A state university has 4900 in-state students and 2100 out-of-state students. A financial aid officer wants to poll the opinions of a random sample of students. In order to give adequate attention to the opinions of out-of-state students, the financial aid officer decides to choose a stratified random sample of 200 in-state students and 200 out-of-state students. The officer has alphabetized lists of in-state and out-of-state students.
(a) Explain how you would assign labels and use random digits to choose the desired sample. Use the Simple Random Sample applet, other technology, or Table A at line 122 and give the first five in-state students and the first five out-of-state students in your sample.
(b) What is the chance that any one of the 4900 in-state students will be in your sample? What is the chance that any one of the 2100 out-of-state students will be in your sample?