I have following problem :
200 people were surveyed asking about their favorite color. 80 of them said red, 85 blue and 35 said yellow. Verify following hypothesis : proportion of people liking red, blue and yellow color is 5:5:2. Use significance level 0.05.
I know what to do if I want to test hypothesis about proportion in one population, I also know what to do if I compare proportions in two populations. But what to do if I have three populations? I did some research and I saw that we can use analysis of variance in similar case, but then null hypothesis is that every proportion is equal (and alternative is that at least one isn't). Here I have 5:5:2, so I don't know what to do. I will be grateful for every answer.