WASHINGTON, May 21 (AFP) - A majority of Americans are in favor of investing some of their Social Security payments in the stock market -- or a "partial privatization" of the system, an opinion poll said Friday. "Even when they are told that investing in the stock market will mean 'getting more money if their investments do well and less if they do poorly,' 57 percent still favor it," National Public Radio said it found in its survey. The poll found the strongest support for the proposal, 71 percent, among young people, while the older crowd only gave it 50 percent backing. However, 57 percent of all respondents said they were against investing their entire Social Security contributions in the stock market. In addition, only 38 percent of the 1,203 people consulted from March 4-24 agreed with President Bill Clinton's idea of having the government invest part of the Social Security funds it collects in stocks. The survey, with a margin of error of plus or minus three points, also found that more women than men are worried they will not have enough money for retirement by a 75 to 59 percent margin.  