A random sample of 151 students was asked how many songs were in their digital music library and what fraction of them was legally purchased. Overall, they reported having a total of 112,445 songs, of...

Extracted text: A random sample of 151 students was asked how many songs were in their digital music library and what fraction of them was legally purchased. Overall, they reported having a total of 112,445 songs, of which 25.3% were legal. A research group found that a 95% confidence interval for the fraction of songs in students' digital music libraries that are legal is (25.0%,25.6%). The research group that conducted this survey wants to provide the music industry with definitive information, but they believe that they could use a smaller sample next time. If the group is willing to have three times as big a margin of error, how many songs must be included? A total of songs must be included. (Type a whole number.)