00:01
Hey there, welcome to numerate.
00:02
So we have a survey of adults over here asking whether they favor or oppose the death penalty.
00:08
And so we are given the x value and value and we have to find a sample p.
00:13
But before that, let's write down our equation for the confidence interval for population proportion.
00:22
Confidence interval equals our proportion plus and minus our z critical value, multiplied by the square root of our proportion times 1 minus our proportion divided by n our sample size.
00:47
All right, so we're going to get a lower bound and a upper bound here.
00:54
Well, before we do that, we need to find our proportion.
01:00
So our proportion here is basically the x over n.
01:06
So we have x, 1 ,394 divided by n, which is 1 ,9899.
01:20
All right.
01:29
Let's see what this gives up here.
01:36
It gives us around 0 .70 or 0 .7.
01:40
So with this, we're going to plug it in to our equation, 0 .7 plus and minus our z critical value based off a 95 % confidence...