The U.S. Census states that 27.5% of U.S. adults who are at least 25 years old have a bachelor's degree or higher. Suppose in a random sample of n = 200 U.S. residents who are 25 or older, 58 of them have a college bachelor's degree or higher. Suppose you wish to construct a 95% confidence interval from the sample. Using formulas, you calculate the margin of error to be 2.5 percentage points. After referencing page 431 of the textbook, determine if the following statements are true. (1) The 95% confidence interval runs from 26.5% to 31.5%. (2) The probability that the population mean falls within the confidence interval is 0.95. Statement (2) only is true. Neither statement is true. Statement (1) only is true. Both statements are true.