Finding out the total number of who siad yes based on percentages

Question

total participants- 10

 

participants who said yes -33% women

                                       67% men

Answer 1

These percentage, applied to the total # of participants, would tell you that 3.3 women said Yes, 6.7 men said Yes...but of course that's nonsense, the answers would have to be integers.

 

If the stated percentages are from a large sample size and you're trying to predict how a small selected group (of ten) might have answered,  you'd have to say  about 3 and about 7, rounding up--but that could be totally wrong.

 

In truth, this is not a very good question and it shows one of the many pitfall of surveys, predictions based them, etc.

One has only to look at the recent election to see this--or the "Dewey defeats Truman" fiasco of 1948, or the famous bad prediction of the Literary Digest that predicting FDR would be defeated by Alf Landon in 1936.