Write a reply as if I'm a student replying to another student "I agree with the second student. A 95% confidence interval doesn't mean there's a 95% chance the population parameter is in the interval. The population parameter is a fixed value, and it either is or isn't in the interval we got. The "95%" means that if we repeated this sampling process over and over, 95% of the intervals we calculate would contain the true parameter. The first student made a common mistake by saying there's a 95% chance the parameter falls in the interval. That would only make sense if the parameter could change, but it doesn't, it's just unknown. So overall, the second student had the right idea