00:01
There are given two samples for this question, the sample 1 and the sample 2.
00:05
For the sample 1, the x1 is 34 and the sample size 2 is 39.
00:10
And for the next one, this is x2 is 39 and n2 which is 310.
00:16
And the confidence level which is given as 99 percent is a decimal number, this is 0 .99.
00:22
So what we need? we need the sample proportion values.
00:24
Let's say the p1 is the proportion value for the sample 1 which is x1 over n1, 34 divided by 2, 39 here.
00:34
Let me just get this value.
00:35
This is 34, sorry this is 34 and divided by 2, 39.
00:41
So the value is 0 .14 and 2.
00:44
Let me just get the proportion value for the second sample.
00:48
This is 32 divided by 310 which is 32 divided by 310.
00:57
So the value is 0 .103.
01:01
Let me just write the formula, the confidence interval for the difference.
01:06
So we're going to find the p1 minus p2 which is the p1 minus p2 plus or minus, this is the z value times square root of p1 times 1 minus p1 and divide by n1 plus p2 times 1 minus p2 and divide it by the n2.
01:23
This is the formula we have to apply here.
01:26
Let me just get the z value first...