A candy company that makes colored candies claims that 10% of the candies it produces are green and that bags are packed randomly. In a really large bag of candies, we found 12% of 500 candies were green. Is this evidence that the manufacturing process is out of control and has made too many greens? Explain.

Question

Douglas Jenkins

Mathematics

29 May, 06:53

A candy company that makes colored candies claims that 10% of the candies it produces are green and that bags are packed randomly. In a really large bag of candies, we found 12% of 500 candies were green. Is this evidence that the manufacturing process is out of control and has made too many greens? Explain.

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Melvin Townsend · Answer 1

No. The sample size is too small to be reliable. If there were many bags of 500 candies that consistently showed a larger-than-marketed amount of green candy, that will be better proof.