Based on past experience, a bank believes that 7 % of the people who receive loans will not make payments on time. The bank has recently approved 200 loans. What assumptions must be true to be able to approximate the sampling distribution with a normal model? Assumptions: [ What are the mean and standard deviation Of this model? mean =- standard deviation (accurate to 3 decimal places) 2' What is the probability that over 10% of these clients will not make timely payments? If n=290 and f} {p-hat) =O.94, find the margin of error at a 90% confidence level Give your answer to three decimals If n = 260 and 33 (p-hat} = ()3, construct a 99% confidence interval. Give your answers to three decimals gp. A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 3% margin of error at a 99% confidence level. what size of sample is needed? Give your answer in whole people. Express the condence interval 12.9 %