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.

Show your work.