Originally Posted by

**Ond**

In the second example you should test whether the proportion is 20% for Prof. C, 40% for Prof. B and 40% for Prof. A.

So, you have three H0 in the first example and three H0 in the second example. If you can reject more H0's in example 1 than in example 2 for instance (using the same critical value in all H0's of course), then I would have thought that example 2 is the better way, and vice versa. But I'm not quite sure if I'm entirely correct regarding that.

Another way could be that you find the average of the three p-values in example 1 and then in example 2 and see which one is lower. But then again, I'm not quite sure.