A city commissioner claims that 80% of all people in the city favor private garbage collection in contrast to collection by city employees. To check the 80% claim, you randomly sample 25 people and find that x, the number of people who support the commissioner's claim, is 22.
a. What is the probability of observing at least 22 who support the commissioner's claim if, in fact, p = .8?
b. What is the probability that x is exactly equal to 22?
c. Based on the results of part a, what would you conclude about the claim that 80% of all people in the city favor private collection? Explain.