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Arandom sample of 197 students was asked how many songs were in their digtal music library and what fraction of them was legally purchased Overal they reported having a total of 108.621 songs, of which 25.8% were legal. Aresearch group found that a 90% confidence interval for the fraction of songs in students' digital music ibraries that are legal is (25 6%,26.0%). The research group that conducted this survey wants to provide the music industry with definitive information, but they beleve that they could use a smaler sample next time. If the group is willing to have four times as big a margin of emor, hou many songs must be included? A total of songs must be included (Type a whole number)

Arandom sample of 197 students was asked how many songs were in their digtal music library and what fraction of them was legally purchased Overal they reported having a total of 108.621 songs, of which 25.8% were legal. Aresearch group found that a 90% confidence interval for the fraction of songs in students' digital music ibraries that are legal is (25 6%,26.0%). The research group that conducted this survey wants to provide the music industry with definitive information, but they beleve that they could use a smaler sample next time. If the group is willing to have four times as big a margin of emor, hou many songs must be included? A total of songs must be included (Type a whole number)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A random sample of 197 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 108,621 songs, of which 25.8% were legal. A research group found that a 90% confidence interval for the fraction of songs in students' digital music libraries that are legal is (25.6%,26.0%). 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 four times as big a margin of error, how many songs must be included? A total of songs must be included. (Type a whole number.)
Transcribed Image Text:A random sample of 197 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 108,621 songs, of which 25.8% were legal. A research group found that a 90% confidence interval for the fraction of songs in students' digital music libraries that are legal is (25.6%,26.0%). 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 four times as big a margin of error, how many songs must be included? A total of songs must be included. (Type a whole number.)
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