## Confidence Interval for Mean & Proportion. Sample Size Estimation

Confidence Interval of Mean Estimation:

When the data is continuous in nature then we will take mean of that data and T Distribution will be calculated for the data in Margin of Error.

When the data is continuous in nature then we will take mean of that data and T Distribution will be calculated for the data in Margin of Error.

When the data is discrete in nature like "yes", "no" then we find Confidence Interval using T-Distribution. T distribution has two perquisite first degree of freedom, second the confidence Interval one is looking for. T- Table can be used to find the error margin

When we calculate C.I. for proportion the question is discrete in nature as below and we calculate using Z-Distribution

When we we employ CI for a proportion (p) we deploy sampling distribution for sample proportion you can visit here for the concept.

http://www.professorfashion.com/sample-and-sampling.html

If we have enough samples than it is normally distributed with a mean p that is equal to population mean mu

When the data is continuous in nature use T- Distribution, see the examples below