Maths-
SAT
Easy
Question
A bag containing 10,000 beads of assorted colors is purchased from a craft store. To estimate the percent of red beads in the bag, a sample of beads is selected at random. The percent of red beads in the bag was estimated to be 15%, with an associated margin of error of 2%. If r is the actual number of red beads in the bag, which of the following is most plausible?
- r > 1,700
- 1,300 < r < 1,700
- 200 < r < 1,500
- r < 1,300
The correct answer is: 1,300 < r < 1,700
15% of 10,000 = estimated red beads
1500 estimated red beads
Error = 2% of 10,000 = 200
Error can be positive or negative
1300 < r < 1700.
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