The Township Board of Meridian Township wants to know how much support there is for raising taxes to fix and maintain the roads in the township. They randomly surveyed 420 residents and calculate a 90% confidence interval for the actual proportion of Meridian Township residents who are in favor of the tax increase to be (0.62, 0.65). The sample proportion from the sample data is (0.62+0.65)/2. What is thestandard error, SE,used to calculate this 90% confidence interval? Give your answer to4 decimal places.