[exim] Connection refused

Hello,
I recently installed EXIM 4. When I try to connect from either the
server or another computer on the local network I get the error: Could
not conneect to server XXXXX; the connection ws refused.
I checked using 'exim4 -bP authenticators' :

cram_md5 authenticator:
driver = cram_md5
public_name = CRAM-MD5
server_advertise_condition =
server_debug_print =
server_mail_auth_condition =
server_set_id =
client_name =
${extract{1}{:}{${lookup{$host}lsearch*{/etc/exim4/passwd.client}{$value}fail}}}
client_secret =
${extract{2}{:}{${lookup{$host}lsearch*{/etc/exim4/passwd.client}{$value}fail}}}
server_secret =

plain authenticator:
driver = plaintext
public_name = PLAIN
server_advertise_condition =
server_debug_print =
server_mail_auth_condition =
server_set_id =
client_send = ${if
!eq{$tls_cipher}{}{^${extract{1}{::}{${lookup{$host}lsearch*{/etc/exim4/passwd.client}{$value}fail}}}^${extract{2}{::}{${lookup{$host}lsearch*{/etc/exim4/passwd.client}{$value}fail}}}}fail}
server_condition =
server_prompts =

login authenticator:
driver = plaintext
public_name = LOGIN
server_advertise_condition =
server_debug_print =
server_mail_auth_condition =
server_set_id =
client_send = ${if !eq{$tls_cipher}{}{}fail}:
${extract{1}{::}{${lookup{$host}lsearch*{/etc/exim4/passwd.client}{$value}fail}}}
:
${extract{2}{::}{${lookup{$host}lsearch*{/etc/exim4/passwd.client}{$value}fail}}}
server_condition =
server_prompts =


Test messages are recieved and put in the spool. I can establish SMTP
sessions from either comptuters.
What should I do next?

Muz