00:01
Alright, so in the given question, we have been asked to construct a 95 % confidence interval for the population proportion.
00:08
Now, first thing is to determine the point estimate here.
00:11
So here the size of the sample is 3 ,900 and the number of favorable outcomes are 24.
00:18
So our sample proportion is the point estimate, which is equal to the number of favorable outcomes divided by the size of the sample.
00:26
So this is computed as 0 .006154.
00:33
Now after this, we have been asked to determine the value of the standard error.
00:38
So here, the standard error, this is computed as square root of the sample proportion into 1 minus sample proportion divided by sample size, right? this is equal to square root of some rounding it up to 0 .0062, right? so this is 0 .0062 into 1 minus 0 .0062 divided by 3 ,900 which is equal to 0 .0013.
01:14
Right.
01:15
In the next part, we have to determine the critical margin of error...