Is there a study about a user's reaction to a browser request of a geolocation?
What is the percentage of acceptation? In which case? What triggers acceptance and what triggers denial?
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As always, it depends of type of user and service. For example,
Users will accept if you explain the benefit, and it is worth it.
Younger users will be less reticent to accept than older ones.
And so on.
I have been working on a responsive website for a clothing store franchise, and the smartphone version asks geolocation when you are looking for the nearest store. That is pertinent and useful, and users will usually accept.
However, a service that asks for your geolocation without a clear purpose (i.e. when you turn on the app), or for sending you unspecified (i.e. "local offers"), will probably have more refusals.
My experience running studies was that about 25-30% of study participants using Chrome didn't even notice the request.
Some participants quickly scanned content on the site and ignored everything else. They hadn't considered whether they wanted to 'allow' or 'deny' geolocation -- they hadn't even noticed that a decision was being requested.