00:01
Hi, i'm david and i'm here to have your answer your question.
00:03
In the question here we are going to discuss about the summary distribution of the sample proportion.
00:08
Let me remind you that under certain conditions, the sample proportion p heart will be approximately to the normal, in such a way that if you can't the p heart will minus the p, the 1b squared the p times 1 minus p, then we obtain the standard normal.
00:25
In this question here we have the symbol size n equal to a hundred, and we have the symbolized n equal to a hundred, the p equal to the 10%, which is 0 .1.
00:33
In the first question a, once you find the probability that the sum of operation p .hat will be between 0 .163 and the 0 .1 .72.
00:45
To find this probability, i need to convert the ph into the z by applying this formula here.
00:51
And then we get on the left, and we get the 0 .163 minus p will be the 0 .1 over the square root of 0 .1 times 1 minus 111 over 100.
01:05
On the right will be the 0 .122 minus 71 of a square root on the 0 1 times 1 minus 1 over 100...