Suppose a student wants to collect data on whether college students are more likely to watch movies or listen to music. To figure this out, the student posts the question on their social media account. The student receives 301 replies, with 201 students preferring listening to music, and the remaining 100 preferring watching movies. The student concludes college students are more likely to prefer listening to music online. Without performing any tests, answer the following.
(a) What was one potential source of bias that arose from the collection technique? Then, let me know how you feel about this sample being used to draw conclusions about college students.
(b) Suppose the student correctly performed a hypothesis test. Was it a one population or two population set-up? Why?
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Answer:
a)
There are possible scenraios in which music will also be included in the movie. The students in the survey might be listening to music in the movie also. Hence the survey results will be skewed towards listening music
The conclusion drawn will be a biased one as listening music can also be a part of the movie. This impllies they are not mutually independent. So the conclusion results with a whole probability 1 might not be true
b)
For performing correctly, a 2 population set up must be used to take one set of students that are liking music (but not from movies) and another set of students that like to see only movies without music.
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