A factory produces a component used in manufacturing computers. A sample of components is tested prior to shipment to determine how many defective components it contains. In a random sample of 372 components 55 were found to be defective. Using the method described in the Section 6.1 lecture notes, find thelower limitfor the 95% confidence interval for the true proportion of defective components produced by the factory.

Give your answer correct to2 decimal places.