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Math·Problem-Solving and Data Analysis·Inference from sample statistics and margin of error
medium
A company that produces only one type of item wants to estimate the percent of the items produced in a typical week that are defective. A random sample of 540 of the items produced in a certain week were tested. Based on the sample, it is estimated that 12.5% of all items produced by the company in this week are defective, with an associated margin of error of 2.79%. Based on the estimate and associated margin of error, which of the following is the most appropriate conclusion about all items produced by the company during this week?
A
2.79% of the items are defective.
B
It is plausible that between 9.71% and 15.29% of the items are defective.
C
12.5% of the items are defective.
D
It is plausible that more than 15.29% of the items are defective.