00:01
Hey there, welcome to numerate.
00:03
We are asked to use the central limit zero and the normal distribution in order to find this probability here in between.
00:12
So we are given our number, our sample size here of 147, and we have our proportion here, given to us as 0 .13.
00:25
And we're asked to find the probability in between in which the sample.
00:30
Proportion is between 0 .15 and between 0 .19.
00:38
So knowing this here, we will be setting up c score equations for both.
00:45
So what we have this for this is going to be equivalent to the probability that p hat is less than 0 .19 minus the probability that p hat is less than 0 .19 minus the so we're going to be, we can move this upwards, finding the z scores for both.
01:11
So let us do the z score for 0 .19 first.
01:17
We are going to be minus to the population proportion divided by the square root of.
01:24
So what we have here, let's see here, all right.
01:39
So 0 .13 times 0 .87...