A university 15,000 students and the president wants to survey students about a change to the class registration process. Due to time and budget constrains, there is not time to ask all 15,000 students so the university decides to do a survey. Based on past surveys, student opinions were somewhat divided on similar issues - but not totally divided. The president wants an accurate survey with minimal error and wants you to refine your initial sample size down even further without increasing error. Finally, based on experience of having done these types of surveys before, you expect a 40% response rate.

Question:

Using the statistical method of determining a sample size, how many students need to complete the survey and how many students would you have to ask to get the desired number of respondents - show work.