please show alll work

Suppose 10,000 students have taken a certain course and all of them were invited to evaluate the course. Out of the 10,000, we see that 496 responded to the course evaluation. And out of those 496, there were 130 that gave the course the highest rating (that is, 5 on a scale from 1 to 5). We want an approximate condence interval for p, the proportion of all 10,000 students that would give this course the highest rating. We estimate p to be 130/496 or about 26.2%. Is a zinterval for a proportion applicable here? If not, why not? Yes. No, because the sample size 496 is too small. No, because we only have responses from 496 students and not all 10,000. No, because the 496 students were not randomly selected from the 10,000. 0000