You do a study where you look at the number (frequency) of people that choose to use each car wash method. The four methods are: [1] hand wash, [2] drive-through wash, [3] wash it yourself at home,...

You do a study where you look at the number (frequency) of people that choose to use each car wash method.  The four methods are: [1] hand wash, [2] drive-through wash, [3] wash it yourself at home, and [4] just wait for it to rain (method #4 is Prof. Vincent’s preferred method).  You start by assuming that exactly one fourth of car owners will choose each method.  Then, you survey a sample of n=100 people to ask them about their preferences regarding washing their cars.  Finally, you compare the number you expected to pick each method vs. the number you actually observed using each method when you asked by survey.  What kind of hypothesis test would allow you to do this?