00:01
Hey there, welcome to numerate.
00:03
We are looking at 36 candies here, in which six of them are red, so we're asked to determine the 95 % confidence interval for the percentage of red candies.
00:17
So let us determine our confidence interval equation first.
00:22
So we have our proportion plus and minus our c critical value, multiply by our proportion times.
00:30
1 minus p and this is then going to be divided by our sample size.
00:36
So what we have here for our confidence interval, we have the proportion that we have to determine.
00:43
So our proportion is basically 6 out of the 36 that are red, which equals 0 .17.
00:52
All right, approximately.
00:54
So let's carry the decimal places when we plug it in, plus and minus our c critical value based off our our, 95 % confidence is 1 .96 and this is done basically multiplied by the square root of our proportion times the complement.
01:21
All right, let's actually rewrite that and it divided by our sample size.
01:29
Hence what we have here for our confidence interval we're going to write this in percentage format...