From this survey, we can gather the following information:
1. **Willingness to Pay**: Seventy-five percent of the 5,000-student sample are willing to pay $250 for eight home games. This indicates that a significant portion of the surveyed students is willing to spend that amount for football season tickets.
2. **Sample Size**: The survey was conducted among 5,000 students, which is a relatively large sample size. A larger sample size tends to provide more accurate results.
3. **Sampling Error**: The sampling error is 6 percent. This means that the actual percentage of students willing to pay $250 for season tickets could be 6 percent higher or lower than the reported 75 percent. So, the true percentage could be between 69 percent and 81 percent.
4. **Optimal Price Range**: While 75 percent of students are willing to pay $250, the survey doesn't provide information about whether this price is optimal for the university or if there's a more profitable price point. Further analysis and consideration of costs, revenue goals, and other factors would be needed to determine the optimal pricing strategy.
5. **Market Segmentation**: The survey can also be used to segment the market. It's possible to analyze if different groups of students have varying willingness-to-pay levels, and this information can help in tailoring ticket pricing to different segments.
Overall, this survey provides valuable insights into the willingness of students to pay for football season tickets at a particular price point, but further analysis and considerations are required to determine the best pricing strategy for the university.