I was wondering what the appropriate test would be for comparing the results of two chi-square tests.
For example: I have one experiment where I determined if there was a significant difference in the ability of rats to detect the smell of an odor (odor 1) compared with a control (yes/no) using chi-square. I then repeated the experiment but using a different odor (odor 2 vs. control).
Now I want to compare the results of those two tests statistically (results of experiment 1, odor 1 vs. results of experiment 2, odor 2), what test would I use?
I heard Mann-Whitney $U$ might be good, but I need to justify why this test would be better than other test for this comparison.
Also, how would I graph the data with error bars, or are error bars not used for chi-square?