Angie takes a random sample of 100 students in her school and finds that 58% of the sample prefers art over music. There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer art over music?

Question

marie.ella · Answer

PLEASE HELP ME AND I WILL MEDAL

marie.ella · Answer

@TheSmartOne

luffingsails · Answer

If the sample is truly random, what they are trying to say is that whatever applies to the 100 people also applies to the larger population. So, they same 58% of the random 100 would also prefer art over music in the larger population of 1200.

So, .58 * 1200 = 696

So, 696 students prefer art over music.