00:01
So the b hat here is given by the number of like voters that are going to vote for the joe biden in terms of the total number of voters that was in the florida.
00:15
So in this case, it's 500.
00:17
So in this case here is 0 .58.
00:23
So now we want to compute the standard error.
00:27
In this case, the standard area is given by the square root of p hat 1 minus p hat divided by the sample signs.
00:36
So in our case, p hat is equals 0 .58, 1 minus 0 .58, divided by the total number of people that was selected in the sample, so 500.
00:51
So if you compute this, you're going to find that this square root is 0 .0048.
00:58
And if you compute this you're gonna find 0 .02 this is the standard error now let's compute what is the z score that we need to compute a 95 % confidence interval so the z score is coming from a normal distribution standard normal distribution and this is a quantile in this distribution which has an area left to it equals to 0 .975 and we can find this number using a z table.
01:30
Using a z table, we are going to find that the z score is equal to 1 .96.
01:36
So now let's compute the margin of error that we can use letter e to express this.
01:44
So the margin of error is given by the z score, multiplied by the standard error, which is 1 .96, multiplied by 0 .02...