In a study of fast food resturants, a simple random sample of Burger Empire drive-through orders, it was found that 32 orders were accurate and 1 were not accurate. In a simple random sample for Happy Burger drive-through orders, it was found 52 orders were accurate and 3 were not accurate. Find a 97% confidence interval for the difference of proportions of all accurate orders from Burger Empire and Happy burger. (Round your answers to three decimal places.)

margin of error:

lower limit:

upper limit: