Translate the statement into a confidence interval. Approximate the level of confidence. In a survey of 1002 adults in a country, 79% said being able to speak the language is at the core of national identity. The survey's margin of error is + 3.1%. The confidence interval for the proportion is ( 0.759 , 0.821). (Round to three decimal places as needed.) The interval is a% confidence interval. (Round to one decimal place as needed.)
Translate the statement into a confidence interval. Approximate the level of confidence. In a survey of 1002 adults in a country, 79% said being able to speak the language is at the core of national identity. The survey's margin of error is + 3.1%. The confidence interval for the proportion is ( 0.759 , 0.821). (Round to three decimal places as needed.) The interval is a% confidence interval. (Round to one decimal place as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Understanding Confidence Intervals**
In a recent survey involving 1002 adults in a country, 79% expressed that being able to speak the language is crucial to national identity. The survey has a margin of error of ±3.1%.
**Calculating the Confidence Interval:**
- The confidence interval for this proportion is between (0.759, 0.821).
- Note: This interval is rounded to three decimal places.
**Interpreting the Confidence Level:**
- The interval is a ____% confidence interval.
- Note: This value should be rounded to one decimal place as needed.
In summary, a confidence interval provides a range of values that likely includes the true proportion of the population. Here, it suggests that between 75.9% and 82.1% of the population thinks that language is integral to their national identity. The specific confidence level for this interval needs to be calculated based on this data.
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