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
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**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.
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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