Most soybeans grown in the united states are genetically modified to, for example, resist pests and so reduce use of pesticides. because some nations do not accept genetically modified (gm) foods, grain-handling facilities routinely test soybean shipments for the presence of gm beans. in a study of the accuracy of these tests, researchers submitted lots of soybeans containing gm beans to 21 randomly selected facilities. of these, 17 detected the gm beans. would it be appropriate to calculate a 90% confidence interval for the proportion of all grain-handling facilities that will correctly detect gm beans in a shipment?