1. What I meant by increased testing causing an increase includes consideration of the scenario of testing not being complete enough. Until there is a surplus of testing capacity, rationing testing will (possibly) miss a number of positive cases. Once there is sufficient testing capacity to test everyone that is showing symptoms and everyone who has been even minimally exposed to someone symptomatic (or positive), then testing beyond that would likely only being testing people who would be negative (unless there are a
lot of asymtomatic people).
2. Sure, if the virus is spreading, then you would generally expect more positive results. However, increases in positive rates could simply be the result of better focused testing.
https://www.azdhs.gov/preparedness/...se-epidemiology/covid-19/dashboards/index.php
doesn't seem to indicate a positive rate going from 7% to 40%. The positive rate is noisy week to week. And isn't much higher than the positive rates of some weeks in April.
It looks like Arizona didn't really ramp up testing until May.