In a sample of 116,250 first-year college students, the National Survey of Student Engagement reported that 43% participated in community service or volunteer work.12
Find the margin of error for 99% confidence.
Here are some facts from the report that summarizes the survey. The students were from 622 four-year colleges and universities. The response rate was 29%. Institutions paid a participation fee of between $1800 and $7800 based on the size of their undergraduate enrollment. Discuss these facts as possible sources of error in this study. How do you think these errors would compare with the error that you calculated in part (a)?