The Times seems to think that this is surely proof that such programs are effective, since those who are the targets of the programs think they are. As the original source for their article, the Harris Poll, points out:
In reviewing these poll results, one should bear in mind that these results only measure perceptions. They do not provide any measures of the actual effectiveness of these programs. Furthermore, even a modest reduction in HIV/AIDS or unwanted pregnancies could reasonably be counted as a success. What this survey reveals is that most adults are skeptical about the effectiveness of these programs.