A vice-chancellor of a university was asked to choose a topic for a presidential debate that would soon take place at the university. He organized a poll to determine what support there was for his preferred topic: “the economy”. A simple random sample of size 400 was taken from the entire university community of size 100,000. Of those polled, 320 agreed with the vice-chancellor. Find a 95% confidence intervalfor the percentage of the university community that supported the vice-chancellor.