00:01
So for this problem, i'm going to begin by noting that there's a little bit of missing info.
00:11
So the approach that i'll take here is i'll go through, i've been able, i was able to look up the problem text, and i think, i believe i found the textbook that this problem comes from.
00:20
Of course, my numbers might be slightly different from yours, so just try to follow along with the procedure at least, just make sure that you're not just copying down what i'm writing exactly, because you're, as i said, your numbers differ.
00:33
So the missing info is basically, what are we trying to calculate? so the approach that i'll take here is i've seen a lot of these kinds of questions.
00:49
Basically, i'm expecting that you're probably being asked about the expected value of sample proportions, the standard deviation of sample proportions, and then you're probably being asked to find some kind of probability.
01:02
So to find the expected value of our sample proportions, or of our distribution of sample proportions, it should just be equal to the population proportion.
01:15
I'll note here that for some of these problems, you might be asked to test to make sure that our sample proportions will be normally distributed.
01:23
There are a few different versions of the test.
01:26
One is checking the value of n times p times 1 minus p.
01:30
In this context, we have that n is 96, p is 0 .69, and 1 minus p is, well, 1 minus 0 .69.
01:39
So we have a value of 20 .5 roughly, which is greater than or equal to 10.
01:45
Therefore, we can say that our sample proportions are going to be distributed following a roughly normal distribution.
01:51
Of course, as i said, there are two different variations of that test.
01:55
I've seen this one most frequently, but either way, a lot of the time for these kinds of problems, that test is presented as a step where you should take it for the habit, but you're probably not being marked on that.
02:09
Being said, assuming that this test holds, which we can see it does, then the expected value of the sample proportions is equal to the population proportion, so that's equal to 0 .69, 69%...