# Confusion about Proportion and Percentages

This is very simple but somehow I can't gather my head around it.

There are two groups, group A is 10 percent more likely to have certain characteristic, what proportion of population has that characteristic?

Edit:

I meant group as an english word. I know it's a stupid question but I'm just finding it hard to comprehend. Is the proportion of population which have certain characteristic (for example males) is going to be 55% in this case? To elaborate more, let's say that in a certain population it is likely that males are 10 percent more likely show up to the event than females. Then can I say that proportion of males who show up is 55%?

• I think the word group might be better replaced with set, as group has a mathematical meaning. also what has been tried ? what is the sticking point ?
– user451844
Aug 2, 2017 at 2:17
• I meant group as an english word. I know it's a stupid question but I'm just finding it hard to comprehend. Is the proportion of population which have certain characteristic (for example males) is going to be 55% in this case? To elaborate more, let's say that in a certain population it is likely that males are 10 percent more likely show up to the event than females. Then can I say that proportion of males who show up is 55%? Aug 2, 2017 at 2:32

Let $x$ be the proportion of males expected to show up at the event and $1-x$ the proportion of females.   Interpreting "$10\%$ more likely" to mean $x=1.1(1-x)$.   Then we conclude $x=11/21$.