A record company wants to investigate the musical preference of all adults. An i
ID: 3322683 • Letter: A
Question
A record company wants to investigate the musical preference of all adults. An internet poll at the record company's website allows visitors to choose whether or not to participate in the poll. Below are the results of the poll. Rock Pop Classical Total 15 - 24 48 29 36 113 25 - 34 65 43 22 130 35 - 44 47 33 36 116 Total 160 105 94 359 Is the sample likely to be representative of the population of all adults? Also, if one person is randomly selected from the sample, find the probability their favorite music is classical given their age is between 15 and 24. (A) Yes, the sample IS representative of the population. The probability is 0.3830. (B) Yes, the sample IS representative of the population. The probability is 0.3186. (C) No, the sample IS NOT representative of the population. The probability is 0.3830. (D) No, the sample IS NOT representative of the population. The probability is 0.3186.
Explanation / Answer
No, the sample would not likely to be representative of all population because it is a voluntary response sample.
P(Classical | 15 - 24) = 36/113 = 0.3186
Hence,
No, the sample IS NOT representative of the population. The probability is 0.3186.
Option D is correct.