By Sharon Bernstein SACRAMENTO, California (Reuters) – All sodas and other sugar-sweetened drinks sold in California would be required to carry warning labels for obesity, diabetes and tooth decay under a bill introduced in Sacramento on Thursday, backed by several public health advocacy groups. If passed, caloric drinks would join tobacco and alcohol products in carrying health warning labels in California, the nation’s most populous state and a legislative trend-setter. Proponents say the first-of-its kind effort takes aim at the epidemic of obesity in the United States, where 35.7 percent of adults and 16.9 percent of children aged 2 to 19 are obese, according to the Centers for Disease Control and Prevention. A growing body of research has identified sugary drinks as the biggest contributors to added, empty calories in the American diet, and as a major culprit in a range of costly health problems associated with being overweight.