00:01
Hello, friends, we are going to write here margin of error is given, n value is given, x value is given, a value is given, how large of sample is needed.
00:09
We are going to write here margin of error.
00:13
So margin of error must be z alpha by 2 multiplied by under root of p cap multiplied by if i write here.
00:22
So let's raise this.
00:23
Under root of p cap multiplied by 1 minus p cap divided by n.
00:29
So p cap value is x divided by n.
00:32
If i write here, so x is 187, so let's erase this to make it more clear.
00:39
This is 187 divided by 399.
00:46
So if i write here, this is 187 divided by 399.
00:50
187 divided by 399.
00:53
That must be, if i write here for this, this must be 4 .7 .47.
01:00
Nq cap is 1 minus 0 .47 .47.
01:03
Is equivalent to 1 minus 0 .47 that is equivalent to 0 .53.
01:10
Now we are going to write here margin of error is 2%.
01:14
It means that this is 0 .02 is equivalent to if i write here for this.
01:20
So we are going to add.
01:24
So here alpha is given as 0 .01.
01:27
So if i write here this must be we are going to write here.
01:31
So it means that 99 % confidence interval and z alpha 1.
01:35
2 is 99 % confidence interval is 2 .576...