Detecting genetically modified soybeans. Most soybeans grown in the UnitedStates are

Chapter 0, Problem 20.35

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Detecting genetically modified soybeans. Most soybeans grown in the UnitedStates are genetically modified to, for example, resist pests and so reduce use ofpesticides. Because some nations do not accept genetically modified (GM) foods, grain-handling facilities routinely test soybean shipments for the presence of GMbeans. In a study of the accuracy of these tests, researchers submitted lots ofsoybeans containing 1% of GM beans to 23 randomly selected facilities. Eighteendetected the GM beans.20(a) Show that the conditions for the large-sample confidence interval are notmet. Show that the conditions for the plus four interval are met.(b) Use the plus four method to give a 90% confidence interval for the percent ofall grain-handling facilities that will correctly detect 1% of GM beans in ashipment.