Question

It is believed that 43% of the US population can play the piano, 28% can play the guitar, 15% can play the harmonica, 12% can play the drums, and 2% can play other instruments. You want to take a simple random sample of individuals to test this claim. What is the smallest number of people required for the sample to meet the conditions for performing inference?
250
150
100
43
2

Answer 1

43% = 'Piano'

28% = 'Guitar'

15% = 'Harmonica'

12% = 'Drums'

2% = ...Other Instruments

- '2' Does seems as to be the smallest but it could be a trick.

- '43' Is the largest percentage out of the whole group.

- '100' Is what you get when you add all of the percentages together.

- And if you try to evaluate the percentages together in either way it'll end up to be '0.00004334' so that executes '250' and '150' from out of the question.

I'm not sure exactly what the actual answer could be but I'm assuming since it said "What is the smallest number of people required for the sample to meet the conditions for performing inference" Then my assumption is '2'.