And the key realization is remember the mean of the sample proportions or the sampling distribution of the sample proportions or the mean of the sampling distribution of the daily proportions that thats going to be the same thing as our population proportion so the mean is going to be 12. The mean of our sampling distribution of our sample proportion is just going to be equal to the mean of our random variable X divided by n. This problem is from the following book.
If you follow through the calculations you will find that the confidence interval will differ only in sign.
Sampling Distribution of Sample Proportion If X Bn p the sample proportion is defined as Mean variance of a sample proportion. And the key realization is remember the mean of the sample proportions or the sampling distribution of the sample proportions or the mean of the sampling distribution of the daily proportions that thats going to be the same thing as our population proportion so the mean is going to be 12. If we take samples of size n 50 from a population 100000 times and plot the resulting mean of each sample what do we call the distribution of this data. Sampling Distribution of Sample Proportion If X Bn p the sample proportion is defined as Mean variance of a sample proportion.