Why it still show my name after I buy domain privacy

I register a domain at dynadot with the $2/yr domain privacy,the next day when I look it up ,it still shows my name.Can I ask them to hide it?

No,you can't
That's bad as someone buy domain privacy even just want to hide their names
Try to use your family members's name,someone use that

I see some domains whois infomation is a company name or organization
if you have a company,you can use it

I know some people use fake names
I'm not encourage you to do this,but it is still a working but risky method

There are some domain privacy service who safeguard your personal information and avoid identity theft. They mask your data with the proxy service. Hostmonster and Bluehost avail this service for free.