00:01
Hi, i'm david and i'm here to help me answer your question.
00:03
In the question here we are going to discuss about the confidence interval for the proportion p.
00:10
The formula will be the p -h plus and minus the z and 4 over 2 times 1 the square root of the p -ht times 1 minus the p -ht over the n.
00:19
In this formula, this one will be called the standard umly error.
00:24
And here we have in the sample of the 200 students, 100 indicate that they be called the standard.
00:30
Prefer chocolate ice cream.
00:32
So on the n equal to the 200 and the x equal to 100.
00:37
From here we can find the spawn estimate be hot.
00:40
It will equal to the 100 divided by the 200 and equal to the subon 5.
00:46
And this will be the answer for the question a.
00:49
Now for the question b, we need to find a standard error and based on the formula equal to the square root on the p heart times 1 minus the p heart over the n.
00:59
Then we get equal to the square root of 0 .5 times 1 minus 0 .0 .0 .0.
01:06
0 over n will be the 200.
01:08
Then we get equal to taking the square root equal to the 0354...