11. Europeans have been more skeptical than Americans about the use of genetic engineering to improve foods. A sample survey gathered responses from random samples of 863 Americans and 12,178 Europeans. (The European sample was larger because Europe is divided into several nations.) Subjects were asked to consider using modern biotechnology in the production of foods, for example, to make them higher in protein, keep longer, or change in taste. They were asked if they considered this \"risky for society. " In all, 52% of Americans and 64% of Europeans thought the application was risky. (a) Is there convincing evidence that more than half of all adult Americans consider applying biotechnology to the production of foods risky? Use a signicance test to support your answer. (b) Construct and interpret a 99% condence interval for the percentage difference between Europe and the United States