00:01
So we are doing a margin of error question here.
00:03
I've gone ahead and written out the formula.
00:05
Margin of error is equal to 2 times the square root of p.
00:09
P represents the percent of people that are responding in a certain way.
00:13
Then it's times the quantity of 1 minus that same p divided by n, which is the size of the sample.
00:20
Okay, so we are told that p represents 33%.
00:27
And then we are told that n represents a thousand well the only catch here is we can't actually use 33 in our formula okay we don't use numbers in percent form in actual formulas we need to change them to decimal form first the way you change a percent to a decimal is dividing by a hundred thirty three divided by a hundred gives us point three three okay so that's what we'll want to use so now we're going to plug stuff in here.
00:59
The margin of error is going to be equal to 2 times the square root of our p, which is 0 .33, because we established we need to make that a decimal, times the quantity of 1 minus that exact same p, so again, 0 .33.
01:18
And then all of that is going to be divided by our n, our sample size, which is 1 ,000...