A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline sales tax to provide badly needed revenues for street repairs. If more than 220 but fewer than 260...

A random sample of 400 voters in a certain city are asked if they favor an
additional 4% gasoline sales tax to provide badly needed revenues for
street repairs. If more than 220 but fewer than 260 favor the sales tax, we
shall conclude that 60% of the voters are for it. (a) Find the probability of
committing a type I error if 60% of the voters favor the increased tax. (b)
What is the probability of committing a type II error using this test
procedure if actually only 48% of the voters are in favor of the additional
gasoline tax?