00:01
Hello, let's have a look on the question.
00:02
So here certain values are given to us.
00:04
First one is sample proportion which is represented by p -cap which is equal to 0 .5.
00:10
Then we have sample size n is equal to 200.
00:14
Next, now we need to find out the standard error.
00:18
Standard error.
00:20
So the formula for standard error is equal to under root of p -cap multiplied by 1 minus p -cap divided by 200 or we can say n.
00:30
So this will be equal to under root of 0 .5 multiplied by 1 minus 0 .5 divided by 200.
00:40
So on calculating we will get the standard error equal to 0 .03 by 4.
00:47
Now next we have confidence level.
00:53
Confidence level is given to us 95%.
01:00
Hence alpha will be equal to 1 minus 95 by 100.
01:05
Which is equal to 1 minus 0 .95, that is 0 .05.
01:11
Now, alpha by 2 will be equal to 0 .05 divided by 2, which is equal to 0 .025.
01:19
So, z of c, that is z of calc, we can represent this by z of c will be equal to z of alpha by 2, which is equal to 1 .96.
01:30
6.
01:32
Now on calculating, now for calculating margin of error, for margin of error, we have the formula z of c multiplied by se, that is standard error.
01:50
We have both the values.
01:51
So margin of error, which is represented by moe, will be equal to 1 .96 multiplied by 0 .03554.
01:59
So margin of error will be equal to 0 .0694.
02:05
Now we need to calculate the confidence interval...