Math Problem Statement
Solution
To calculate the margin of error given a standard error of 4.29 and a 98% confidence level, we use the following formula:
- Standard error is given as 4.29.
- Confidence level is 98%.
The value of for a 98% confidence level is approximately 2.33 (this is the critical value from the standard normal distribution for 98% confidence).
Now, using the formula:
So, the margin of error is approximately 10.00.
Would you like further details or clarifications?
Related Questions:
- How is the value derived for different confidence levels?
- What is the relationship between confidence level and margin of error?
- How do we interpret the margin of error in the context of confidence intervals?
- What happens to the margin of error if the standard error increases or decreases?
- How does a change in sample size affect the margin of error?
Tip:
Remember, as the confidence level increases, the margin of error also increases, because higher confidence requires a wider interval.
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Math Problem Analysis
Mathematical Concepts
Statistics
Confidence Intervals
Formulas
Margin of Error = z * Standard Error
Theorems
Normal Distribution (Z-scores)
Suitable Grade Level
Grades 10-12
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