A random sample of 180 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 114 565 songs of which 25 3 were legal A research group found that a 99 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 twice as big a margin of error how many songs must be included A total of songs must be included Type a whole number