answer the following questions

1. In a survey of 500 US adults, 425 say they would trust doctors to tell the truth. Construct a 99% confidence interval for the population proportion p. 2. You wish to estimate, with 95% confidence, the population proportion of US adults who think they should be saving more money. Find the minimum sample size to within 5%. 3. In a previous survey, 73% of adults favor increasing federal funding for research on wind, solar, and hydrogen technology. Find the minimum sample size needed to estimate the population proportion at the 99% confidence level to ensure the estimate is within 4%