Calculators & Converters

    σ = 0.40, n = 750 & 95% Confidence Level - Margin of Error Example

    Margin of Error Calculator

    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.

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