sslv3 alert handshake failure

I have multiple websites on WordPress hosted by siteground with mailer function through WP-smtp plugin, from last few days my mailer is not working due to sslv3 alert handshake failure

I had contacted to my host provider and they had updated latest PHP version( PHP 5.3.29), even-though my issue remains. So they provided me following answer.

I’ve carefully checked your configuration and found the following error:

Code: e in /home/public_html/xyz.com/wp-includes/class-smtp.php on line 344 [14-Sep-2015 08:52:01 UTC] PHP Warning: stream_socket_enable_crypto(): SSL operation failed with code 1. OpenSSL Error messages: error:14094410:SSL routines:SSL3_READ_BYTES:sslv3 alert handshake failure in /home/public_html/xyz.com/wp-includes/class-smtp.php on line 344

and it seems that the plug-in appears to be forcing SSL connection no matter the settings, and it tries to use SSLv3 for handshake, which is disabled on our servers due to its vulnerabilities.

We do not support SSLv3 due to its vulnerabilities.

This is an issue that is not present only on our server.

If you host the site/plugin on any other server which has its SSlv3 connections blocked the result will be the same.

This is why I would suggest that you either reconfigure the plugin to use other ciphers or contact to the plugins developer regarding the issue who would assist you in editing the source of the plugin itself and alter the connection methods

We would recommend you to update the SSL cipher suite support of the application.

So can you suggest me
Is issue is from host provider or with the plugin?
and how to resolve this issue asap?

https://wordpress.org/plugins/wp-smtp/