You are planning a project to calculate the confidence interval for a population proportion, using the most conservative planning value for the sample size. You have determined that the margin of error will be 0.15 given your original sample size. Then you received a new budget which allowed you to increase your sample size to twenty-five times the original sample size. You conducted the study with this new sample size and you calculated p- hat = 0.40. Give the minimum and maximum values for the confidence interval, including three decimals.