When participants were asked to purchase both batteries and a
…there was almost no difference in the price paid between the group that received no information and the group that received irrelevant information. The group that received the privacy information did show quite a difference from the group with no information, however–participants in group 3 paid $0.59 more for the batteries and $0.62 more for the vibrator.
Americans willing to pay (a little) more for privacy [Ars Technica]
The Effect of Online Privacy Information on Purchasing Behavior: An Experimental Study (PDF) [Carnegie Mellon University]