Uncertainty Math Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
easyA poll reports 52% support with margin of error ±3%. Express this as an uncertainty interval and determine if we can be confident the majority supports the policy.
Solution
- 1 Uncertainty interval:
- 2 The interval includes values below 50% (49%), so it's plausible that less than half support the policy
- 3 Conclusion: we cannot be confident of majority support — the uncertainty interval crosses the 50% threshold
Answer
Interval: [49%, 55%]. Cannot confirm majority support since interval includes values below 50%.
Uncertainty intervals (confidence intervals) determine what conclusions are and are not supported by data. If the interval of plausible values crosses a critical threshold, we cannot draw a definitive conclusion in either direction.
About Uncertainty
Uncertainty is the state of having incomplete or imperfect information about a quantity, outcome, or process, making precise prediction impossible.
Learn more about Uncertainty →More Uncertainty Examples
Example 1 easy
A weather model predicts tomorrow's high temperature as [formula]. Explain what this uncertainty int
Example 2 mediumA scientist measures the speed of light and reports [formula] km/s. Explain the difference between u
Example 4 hardTwo studies estimate the same parameter: Study A: [formula]; Study B: [formula]. Are these results c