Is there data to show mobile users bouncing from desktop sites?

Owner of a company I'm helping is not happy with the current responsive Bootstrap view shown to mobile users and wants to disable it, showing them the desktop site.

I have a feeling that it may hurt conversions, but we've only been tracking Analytics for a few days and without any goals setup.

I feel our choices are:

  • improve the current responsive design
  • show mobile users a single optimized page, with option to toggle Desktop site
  • just disable the site's responsiveness and see what happens

The website is for a charitable organisation, so I'm hesitant to cause a drop in mobile conversions.

Authoritative data one way or another would be a big help.

Update: Thanks for the answers so far, from authoritative sources, but mostly from 2012. Would be great to see something a bit more modern - 5 years being quite a while in internet-years.