Translate the statement into a confidence interval. Approximate the level of confidence. In a survey of 1000 adults in a country, 65% said being able to speak the language is at the core of national identity. The survey's margin of error is +3.4%. The confidence interval for the proportion is ( D. (Round to three decimal places as needed.)

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**Task: Translating Survey Results into a Confidence Interval**

**Objective:** Approximate the level of confidence from survey data.

**Survey Data:** 
- Sample size: 1000 adults 
- Proportion agreeing: 65% 
- Margin of error: ± 3.4%

**Instruction:** Calculate the confidence interval for the proportion.

**Calculation:**

1. **Proportion of agreement (p):** 65% or 0.65 
2. **Margin of error (E):** 3.4% or 0.034

**Confidence Interval Formula:** 
\[ \text{Confidence Interval} = (p - E, p + E) \]

**Calculation:**
\[ \text{Lower Bound} = 0.65 - 0.034 = 0.616 \]
\[ \text{Upper Bound} = 0.65 + 0.034 = 0.684 \]

**Final Confidence Interval:**
- The confidence interval for the proportion is (0.616, 0.684).

**Note:** Round your answer to three decimal places as needed. 

Enter your calculated confidence interval in the provided fields and click "Check Answer" to verify.
Transcribed Image Text:**Task: Translating Survey Results into a Confidence Interval** **Objective:** Approximate the level of confidence from survey data. **Survey Data:** - Sample size: 1000 adults - Proportion agreeing: 65% - Margin of error: ± 3.4% **Instruction:** Calculate the confidence interval for the proportion. **Calculation:** 1. **Proportion of agreement (p):** 65% or 0.65 2. **Margin of error (E):** 3.4% or 0.034 **Confidence Interval Formula:** \[ \text{Confidence Interval} = (p - E, p + E) \] **Calculation:** \[ \text{Lower Bound} = 0.65 - 0.034 = 0.616 \] \[ \text{Upper Bound} = 0.65 + 0.034 = 0.684 \] **Final Confidence Interval:** - The confidence interval for the proportion is (0.616, 0.684). **Note:** Round your answer to three decimal places as needed. Enter your calculated confidence interval in the provided fields and click "Check Answer" to verify.
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