T 10 05 2 Population Sample Size Calculations
- Slides: 7
T 10 -05 2 Population Sample Size Calculations Purpose Allows the analyst to analyze the sample size necessary to conduct "statistically significant" testing for sample mean and proportion situations for a 1 -a confidence level and "allowable error". Inputs Confidence level Margin of error Population/Sample standard deviation (s/s) Outputs Sample size 1
Determining How Many Samples to Take (Means) Margin of Error - 3 sd Sample Size Calculation -2 sd -1 sd + 2 sd + 3 sd Level of Confidence Depends on the level of confidence (1 a)? 2
Determining How Many Samples to Take (Proportions) Margin of Error - 3 sd Sample Size Proportions -2 sd -1 sd + 2 sd + 3 sd Level of Confidence Depends on the level of confidence (1 a)? 3
Sample Size for Mean - Example Calculate the sample size necessary to ensure that you are 95% confident that the error in the “difference of 2 populations” is within 2 of the population mean when population 1 standard deviation is 6. 82 and population 2 standard deviation is 5. 83. 4
Input the confidence level (. XX for XX%), Std Dev for both populations, and Margin of Error. The Sample Size necessary to achieve this accuracy is automatically calculated. 5
Sample Size for Proportion - Example Calculate the sample size necessary to ensure that you are 95% confident that the error in the “difference of 2 populations” is within 1% (. 01) of the population proportion when population 1 proportion estimate is. 96 and population 2 proportion estimate is. 83. 6
Input the confidence level (. XX for XX%), proportion estimate for both populations, and Margin of Error (. XX for XX%). The Sample Size necessary to achieve this accuracy is automatically calculated. 7
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