Unless you have another Earth somewhere, you have to use NHST, rather than using a control, as you have no control Earth that is the same minus humans. Well, you do, but you ignore it. Mars polar caps, which have better records than earth ice caps, show they are shrinking.
Either way, AGW believers are not doing hard science with global warming, where you, say, apply heat to this sample, but not this one, to determine the changes caused by heat.
(or whatever the theory is, that one was a simple example)
Which is fine. If your models work, your science is "unequivocal". But...
The science is not "unequivocal" because the predictions of the models don't come to pass. The northern ice cap is not missing as predicted (excuse me... suggested would be missing) The earth has failed to warm as much as AGW believers are predicting. It has warmed as much as might be predicted by the normal warming trend of coming out of an ice age, which we are doing on geological scales.
If reality does not do what the "unequivocal" science says, then the science is incomplete, and not unequivocal.
Faith is unequivocal. I will change my position when the science matches what happens in the real world.