Calculators & Converters

    σ = 0.75, n = 560 & 99% 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 = 0.75, sample size n = 560 & 99% confidence level in statistical surveys or experiments.

    Calculation Summary
    Standard Deviation (σ)0.75
    Sample Size (n)560
    Confidence Level99%
    MOE8.16%

    Work with Steps for σ = 0.75 n = 560 & 99% Confidence Level

    Question:
    A survey was conducted among 560 students to know the interest of reducing the class hours, what is the acceptable margin of error included in this survey to make the survey results statistically significant at 99% confidence level. The deviation of interest of students is 0.75.
    Workout :
    step 1 Address the formula input parameters and values
    Standard Deviation (σ) = 0.75
    Sample Size (n) = 560
    Z value for 99% confidence level = 2.575
    MOE = Z σn

    step 2 Substitute σ , n & Z value in the below margin of error formula
    MOE = 2.575 x 0.75560

    step 3 Solve the above expression
    MOE = 2.575 x 0.75/23.6643
    = 2.575 x 0.0317
    = 0.0816 x 100
    = 8.16 %

    Thus 8.16 % is the Margin of error calculated from σ = 0.75, n = 560 & 99% confidence level.

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