00:01
Hey there, welcome to numerate.
00:03
So we are asked to construct a 95 % confidence interval given the value of our x and n values.
00:12
So we're given x as 120 and our sample size as 1 ,200.
00:19
So and our confidence level here is 95%, which is 0 .95 in decimal form.
00:27
So let's first write down our equation here.
00:31
Where our confidence interval equals our proportion plus and minus our z critical value multiplied by the square root of our proportion times one minus our proportion divided by n.
00:49
So with this, we have our proportion here, which is basically x divided by n.
00:58
So 120 divided by 1 ,200, which gives us a proportion of exactly 0 .000.
01:06
Point 10.
01:08
So we plug this into our equation here.
01:11
Confidence interval equals 0 .10 plus and minus our critical value based off our 95 % confidence, which is 1 .96 times the square root of our proportion...