Math Problem Statement
Solution
The problem asks for the sample proportion , given a confidence interval for the proportion of accountants who double-check their work.
The confidence interval provided is .
To estimate the sample proportion , we typically use the midpoint of the confidence interval. This can be calculated as follows:
So, the sample proportion is 0.93.
Would you like further clarification or details on how this is computed?
Here are five related questions to explore:
- How is a confidence interval constructed in statistics?
- What does the sample proportion represent in a survey?
- How do you interpret a confidence interval in terms of probability?
- What is the margin of error in a confidence interval?
- How would increasing the sample size affect the width of the confidence interval?
Tip: The midpoint of the confidence interval is a good estimate of the sample proportion when no other data is provided.
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Math Problem Analysis
Mathematical Concepts
Statistics
Confidence Intervals
Sample Proportion
Formulas
Sample Proportion Calculation: p̂ = (lower bound + upper bound) / 2
Theorems
Properties of Confidence Intervals
Suitable Grade Level
Grades 11-12 or Introductory College Level
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