00:01
Hello show and we need to write here assume that this sample is used to estimate population proportion p we need to find 90 % confidence interval for a sample size we need to write here 9199 with 588 point successes so we need to write here this is probability of success so this will come out as let's write here so this is point of 588 and q value which is probability of unsuccess this will be 1 minus 0 .58 so this value will come out as so this will come out as 0 .412 so if i write here for this we need to add so our z critical value for 90 % confidence interval is 1 .645 so if i write here what we need to write here we need to calculate confidence interval so what is this confidence interval? this is 90 % confidence interval.
01:07
This must be confidence interval.
01:10
So basically this is success probability.
01:13
So this can be considered as sample proportion.
01:17
So this is p plus minus margin of error.
01:21
So margin of error.
01:24
Now we need to write here this must be.
01:27
So sample size is greater.
01:28
So definitely this is 0 .5.
01:31
And we need to consider z alpha by 2 multiplied by so this is under root of pq divided by n which is 0 .5 double 8 at 90 % confidence interval this is 1 .645 and under root of 0 .58 multiplied by 0 .412 if i write here for this and this is n value 199 right so this will be 0 .588 multiplied by 0 .412 if i write here for this and this is n value 199 right so this will be 0 .5 so this is 1 .645 multiplied by under root of 0 .05739.
02:13
This will be calculated as 0 .58 plus minus if i write here finally 0 .0574.
02:22
Now, so if i write here upper bound value and lower bound value would be 0 .58 plus 0 .0578 plus 0 .0574...