Construct a confidence interval for p, - p, at the given level of confidence. X, = 377, n, = 533, x, = 415, n, = 566, 99% confidence ..... The researchers are % confident the difference between the two population proportions, p, -P2, is between and. (Use ascending order. Type an integer or decimal rounded to three decimal places as needed.)

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**Construct a Confidence Interval for Population Proportions**

**Problem Statement:**
Construct a confidence interval for \( p_1 - p_2 \) at the given level of confidence.

Data provided:
- \( x_1 = 377 \)
- \( n_1 = 533 \)
- \( x_2 = 415 \)
- \( n_2 = 566 \)
- Confidence Level: 99%

**Objective:**
The researchers aim to determine the confidence level for the difference between the two population proportions, \( p_1 - p_2 \). This confidence interval helps understand the extent of the difference with a given level of certainty.

**Calculation Requirement:**
Fill in the blanks:
- The researchers are [ ]% confident that the difference between the two population proportions, \( p_1 - p_2 \), is between [ ] and [ ].

*Instruction:* Use ascending order. Type an integer or decimal rounded to three decimal places as needed.
Transcribed Image Text:**Construct a Confidence Interval for Population Proportions** **Problem Statement:** Construct a confidence interval for \( p_1 - p_2 \) at the given level of confidence. Data provided: - \( x_1 = 377 \) - \( n_1 = 533 \) - \( x_2 = 415 \) - \( n_2 = 566 \) - Confidence Level: 99% **Objective:** The researchers aim to determine the confidence level for the difference between the two population proportions, \( p_1 - p_2 \). This confidence interval helps understand the extent of the difference with a given level of certainty. **Calculation Requirement:** Fill in the blanks: - The researchers are [ ]% confident that the difference between the two population proportions, \( p_1 - p_2 \), is between [ ] and [ ]. *Instruction:* Use ascending order. Type an integer or decimal rounded to three decimal places as needed.
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