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 Level95%
MOE2.86%

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 :
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 σn

step 2 Substitute σ , n & Z value in the below margin of error formula
MOE = 1.960 x 0.40750

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. 