A public opinion survey wished to determine if support for new tree clearing laws differed between metropolitan (M) and regional (R) areas.

A public opinion survey wished to determine if support for new tree clearing laws differed between metropolitan (M) and regional (R) areas. Of the 625 metropolitan households interviewed, 460 indicated they supported the tree clearing laws, while only 204 of the 388 regional households indicated support. Construct a 95% confidence interval for the difference between the proportions of metropolitan and regional households favouring the new laws. Write the difference as M - R and state the upper limit correct to 3 decimal places.