These websites are based on the HTTPS communication protocol (e.g 'HTTP over TLS', ' HTTP over SSL' or ' HTTP Secure') which provides security capabilities to the standard HTTP communication. The 'Connection is not private' or 'DNS PROBE FINISHED NO INTERNET' error messages in Chrome may be displayed on websites that use user authentication and encryption in a secure channel, in order to protect the exchanged data, like a banking website, Gmail, Hotmail, etc.