Slashdot links to this story, which proclaims:
More than half of IT workers say they've fallen asleep at work, according to a new online survey.
Forty-nine percent of male techies say they've fallen asleep at work, while only 35 percent of women admitted doing so.
Hm. 49% of males, and 35% of females. Let M be the proportion of respondents who are male. It must be the case that (0.49*M + 0.35*(1.0-M)) = total proportion of respondents who say they've fallen asleep.
For what value of M can the total proportion who've fallen asleep be "more than half"?