Yes it has to do with the qualified dividends. Not sure which TurboTax product that you are using, but I put your figures in a desktop application to see how line 44 was calculated. When I look at the worksheet on how the Qualified Dividends and Capital Gains Tax worksheet is calculated, I get the same result as you-zero taxes. Qualified dividend taxes are taxed at rates of 0%-23.8%. If you are in the 10-15% ordinary income tax rate, then the qualified dividend rate would be 0%.
Note: I am not privy to the rest of your return details and only entered that which you listed above. I also assumed that you were single.