00:01
Hey there, welcome to numerate.
00:03
We are asked to find the margin of error at a 90 % confidence level.
00:09
So let's first write down our margin of error equation.
00:13
We have the margin of error, equaling our z critical value.
00:18
And this is going to be then multiplied by our p hat, in which we can simply denote this as a square root of p times 1 minus p.
00:30
By n, our sample size.
00:34
So with this, we can plug in our values here.
00:38
Our critical value is going to be found through a critical value table based off our 90 % confidence.
00:46
We have 1 .6 .45 times the square roots of our p hat .34 times the complement .6.
01:03
6, and then from here it's going to be divided by our sample size of 430...