The proportion of residents in Phoenix favoring the building of toll roads to complete the freeway system is believed to be p = 0.3. If a random sample of 10 residents shows that 1 or fewer favor this proposal, we will conclude that p 0.3.
(a) Find the probability of type I error if the true proportion is p = 0.3.
(b) Find the probability of committing a type II error with this procedure if p = 0.2.
(c) What is the power of this procedure if the true proportion is p = 0.2?