No, your current DNS servers in your Configured TCP/IP in your local PC. Because "blog analyzer" use your real IP to analyze these blogs, not your proxies so the only problem lied in your PC aka configured TCP/IP DNS servers.
Things work like this:
When you connect to a site (yahoo.com for example), your network card must ask DNS servers where is its address (IP Address) but blog analyzer made alot of requests (a bunch of domains at the same time) that's why maybe dns servers blocked it and not resolving IP Address of these sites (or these sites are all dead lol).
Solution:
Go to your Local Network Area > Properties > Internet Protocol Version 4 (TCP/IPv4) > Check "Use the following DNS Server addresses" > Enter 1st line: 4.2.2.3, 2nd line: 8.8.8.8
I got a lot of DNS servers, but you can use these 2.