[Branched from an earlier discussion]
I tried to sync my yahoo business email using the email/ others account set up with all of the pop/ smtp info found here: https://help.yahoo.com/kb/yahoo-business-mail/send-email-pop-mail-client-sln17514.html
That was a fail- it received but could not send.
then I downloaded the yahoo mail app. once again I could not send. then I tried to change my settings per post #11 above- my samsung s4 mini does not have a "push" option, but it does have "manual" so I took a wild guess and chose that. Well- it worked! hope this helps others.