can someone explain me how to aswer this problem please?
46% of a randomly selected group of people said crime is the most serious problem facing our nation. The survey indicated a 5% margin of error. Explain what this indicates about the results.

Question

can someone explain me how to aswer this problem please? 
46% of a randomly selected group of people said crime is the most serious problem facing our nation. The survey indicated a 5% margin of error.  Explain what this indicates about the results.

anonymous · Answer

It means that the results are at least 95% accurate. The actual percentage of people who said crime is the most serious problem could be anywhere between 43.7% and 48.3%

anonymous · Answer

how do you get 43.7% and 48.3%?

beginnersmind · Answer

In this case 5% is 5% of total responders. So if you asked everyone somewhere between 41% and 51% would say it's a serious problem.

anonymous · Answer

so I need to rest and sum 5% to the number of selected people?

beginnersmind · Answer

You need to subtract 5 and add 5 to get the minimum and maximum value, yes.

anonymous · Answer

Oh, ok thanks. I understand now aa