00:01
Hi, i'm david and i'm here to help you 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 to you that under certain conditions, the sample proportion p heart will be approximately to the normal, where we have the mean of the pht equal to the proportion standard division with pht equal to the square root of the p times 1 minus p over n.
00:25
Because it follows by the normal, if it contains the p hot will minus the mean, our standard deviation, we have 10 the standard normal.
00:33
In the question here we have the p equal to the 11 % of the people who receive loans will not make payments on 10, so b equals to 11.
00:43
The sample says n equals to the 300.
00:46
So in the question a, we need to find the mean of the p heart, it's just equal to the b, equal to the z111.
00:55
Standard division of p heart, it will equal to the square root of the p times 1 minus b over n equal to the square root under zb11 1 minus 11 over n give it the 300 if we compute 11 .0189 maybe 300 taking the square root equal to the zabon 0181...