Aluminum cans contaminated by fire. A gigantic warehouse

Chapter 6, Problem 71E

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QUESTION:

Problem 71E

Aluminum cans contaminated by fire. A gigantic warehouse located in Tampa, Florida, stores approximately 60 million empty aluminum beer and soda cans. Recently, a fire occurred at the warehouse. The smoke from the fire contaminated many of the cans with blackspot, rendering them unusable. A University of South Florida statistician was hired by the insurance company to estimate p, the true proportion of cans in the warehouse that were contaminated by the fire. How many aluminum cans should be randomly sampled to estimate p to within .02 with 90% confidence?

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QUESTION:

Problem 71E

Aluminum cans contaminated by fire. A gigantic warehouse located in Tampa, Florida, stores approximately 60 million empty aluminum beer and soda cans. Recently, a fire occurred at the warehouse. The smoke from the fire contaminated many of the cans with blackspot, rendering them unusable. A University of South Florida statistician was hired by the insurance company to estimate p, the true proportion of cans in the warehouse that were contaminated by the fire. How many aluminum cans should be randomly sampled to estimate p to within .02 with 90% confidence?

ANSWER:

Step 1 of 3

For the given information, sampling error (SE) is 0.02 and 90% confidence.

Let p be the proportion of cans in the warehouse that were contaminated by the fire.

That is p = 0.5

   

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