00:01
Hey there, welcome to numerate.
00:02
We have 75 % of the students who graduated from high school in a small iowa farm, right? they attend college.
00:11
And with us, we have a sample size of 35.
00:13
What's the probability that at least 85 % of the survey students will be attending college? so we're given our stats over here.
00:22
So let's put them in.
00:25
We're given a sample proportion of 85%.
00:28
0 .85.
00:32
Our population proportion of 75, so 0 .75.
00:39
And with that, we have the square root of, square root of p, which is 0 .75.
00:58
1 minus p is basically 0 .25, divided by n.
01:03
Our sample size over here is 35.
01:08
We're going to calculate our z score over here and see what we get.
01:12
So we basically have 0 .85 minus 0 .7 .7.
01:17
75, which is basically 0 .10, divided by the square root of .75, population proportion, times .25, 1 minus p, divided by our sample size here is 35.
01:37
Let's see what answer we get here.
01:41
And we will get a value as e -score of around 1 .37...