I do not have a better stat, nor was I trying to imply that I did. I believe that a statistic, by a show of hands, at a impromptu meeting, where the desired outcome of the questioner is known by the participants will produce a skewed result set, in favor of the desired outcome. This query probably being taken after the group has been explicitly told the "correct" answer by the leader that the group directly or indirectly reports to.
I am surprised that the reported stat wasn't 100%. My guess as to why it is 95% is because 100% would be blatantly obvious to be inaccurate and we wouldn't want blatant inaccuracy. At 95% others can repeat this statistic with out question or validation.
My Example: My Boss's Boss's Boss's Boss (who controls my entire life, and future income) gets me and a group of coworkers together. He/She explains to me in great detail how and why, at great length, that 2+2 = 5. At the end of his/her discussion, asks "So, by a show of hands, Does 2+2 = 5". I would expect the resultant outcome to be greater than 90%.
I concede that the example above is simplified and asking a question of "presumed fact" and not one of a social nature. It was used to demonstrate a method.
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