σ = 0.40, n = 750 & 95% Confidence Level - Margin of Error Example
Example problem workout with steps & calculation summary for accepted margin of error calculated from population standard deviation σ = 0.40, sample size n = 750 & 95% confidence level in statistical surveys or experiments.
| Calculation Summary | |
|---|---|
| Standard Deviation (σ) | 0.40 |
| Sample Size (n) | 750 |
| Confidence Level | 95% |
| MOE | 2.86% |
Work with Steps for σ = 0.40 n = 750 & 95% Confidence Level
Question:
A survey was conducted to know the interest of people includes 750 persons with the deviation of interest of people 0.40. What is the acceptable margin of error included in this survey to make the survey statistically significant at 95% confidence level.
Workout :A survey was conducted to know the interest of people includes 750 persons with the deviation of interest of people 0.40. What is the acceptable margin of error included in this survey to make the survey statistically significant at 95% confidence level.
step 1 Address the formula input parameters and values
Standard Deviation (σ) = 0.40
Sample Size (n) = 750
Z value for 95% confidence level = 1.960
MOE = Z σ√n
step 2 Substitute σ , n & Z value in the below margin of error formula
MOE = 1.960 x 0.40√750
step 3 Solve the above expression
MOE = 1.960 x 0.40/27.3861
= 1.960 x 0.0146
= 0.0286 x 100
= 2.86 %
Thus 2.86 % is the Margin of error calculated from σ = 0.40, n = 750 & 95% confidence level.
