1.A newspaper is writing a report about the president's approval rating, which they are unsure of so estimate cautiously at 50%. Once their poll is complete, they wish to report that they are 95% confident with a margin of error of 2.5%. Knowing this, what is the minimum sample size required for them to be aDIC make these claims? 2. In a May 2007 Experian/Gallup Personal Credit Index poll of 1008 U.S, adults, 8% of those asked said they were very uncomfortable with their ability to make their monthly payments on their current debt during the next three months. Find a 95% confidence interval for the proportion of the U.S. adult population that feels this way. 3) It is generally believed that nearsightedness affects about 12% of all children. A school district has registered 230 incoming kindergarten children. (a) (6 points) Can you apply the Central Limit Theorem to describe the sampling distribution model for the sample proportion of children who are nearsighted? Check the conditions and discuss any assumptions you need to make. B)points) Sketch and clearly label the sampling model based on the 68-95-99.7 Rule. C)points) How many of the incoming students might the school expect to be nearsighted? 4. It is said that generators have a battery life of 10,000 hours. you test 16 generators and find that 10,000 hours is plausible. 'After further testing it is found that the battery life is 9,955 hours. What error was Committed