σ = 0.75, n = 560 & 99% Confidence Level - Margin of Error Example
Example problem workout with steps & calculation summary for accepted margin of error calculated from population standard deviation σ = 0.75, sample size n = 560 & 99% confidence level in statistical surveys or experiments.
| Calculation Summary | |
|---|---|
| Standard Deviation (σ) | 0.75 |
| Sample Size (n) | 560 |
| Confidence Level | 99% |
| MOE | 8.16% |
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 :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.
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 σ√n
step 2 Substitute σ , n & Z value in the below margin of error formula
MOE = 2.575 x 0.75√560
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.
