Pesticide residue in corn products. The U.S. Environmental

Chapter 6, Problem 91E

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QUESTION:

Pesticide residue in corn products. The U.S. Environmental Protection Agency (EPA) bans use of the cancer-causing pesticide ethylene dibromide (EDB) as a fumigant for grain- and flour-milling equipment. EDB was once used to protect against infestation by microscopic roundworms called nematodes. The EPA sets maximum safe levels for EDB presence in raw grain, flour, cake mixes, cereals, bread, and other grain products on supermarket shelves and in warehouses. Of the 3,000 corn-related products sold in one state, tests indicated that 15 of a random sample of 175 had EDB residues above the safe level. Will more than 7% of the corn-related products in this state have to be removed from shelves and warehouses? Explain.

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QUESTION:

Pesticide residue in corn products. The U.S. Environmental Protection Agency (EPA) bans use of the cancer-causing pesticide ethylene dibromide (EDB) as a fumigant for grain- and flour-milling equipment. EDB was once used to protect against infestation by microscopic roundworms called nematodes. The EPA sets maximum safe levels for EDB presence in raw grain, flour, cake mixes, cereals, bread, and other grain products on supermarket shelves and in warehouses. Of the 3,000 corn-related products sold in one state, tests indicated that 15 of a random sample of 175 had EDB residues above the safe level. Will more than 7% of the corn-related products in this state have to be removed from shelves and warehouses? Explain.

ANSWER:

Solution :

Step 1 of 1:

Given the EDB residues the above safe level is x.

From the given information we know that x = 15.

Then the corn-related product sold in one state is N.

So N = 3000.

We know that the sample size n = 175.

Our goal is:

We need to find will more than 7% of the corn-related products in this state have to be removed from shelves and warehouses.

Now we have to find the true proportion.

The formula for the true proportion is

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