x, = 358, n, = 503, x2 = 413, n2 = 562, 95% confidence

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**Instructional Exercise on Constructing a Confidence Interval for Population Proportions**

*Objective:*
Construct a confidence interval for the difference between two population proportions, \( p_1 - p_2 \), at a specified level of confidence.

*Given Data:*
- \( x_1 = 358 \)
- \( n_1 = 503 \)
- \( x_2 = 413 \)
- \( n_2 = 562 \)
- Confidence Level: 95%

*Task:*
The researchers are instructed to fill in the confidence level and determine the range for the difference between the two population proportions, \( p_1 - p_2 \). The interval should be expressed between [ ] and [ ].

*Instructions:*
- Use ascending order for the interval.
- Input an integer or a decimal and round it to three decimal places as needed.

This exercise guides students in understanding how to calculate and interpret confidence intervals, which is crucial in statistical analysis for comparing population proportions.
Transcribed Image Text:**Instructional Exercise on Constructing a Confidence Interval for Population Proportions** *Objective:* Construct a confidence interval for the difference between two population proportions, \( p_1 - p_2 \), at a specified level of confidence. *Given Data:* - \( x_1 = 358 \) - \( n_1 = 503 \) - \( x_2 = 413 \) - \( n_2 = 562 \) - Confidence Level: 95% *Task:* The researchers are instructed to fill in the confidence level and determine the range for the difference between the two population proportions, \( p_1 - p_2 \). The interval should be expressed between [ ] and [ ]. *Instructions:* - Use ascending order for the interval. - Input an integer or a decimal and round it to three decimal places as needed. This exercise guides students in understanding how to calculate and interpret confidence intervals, which is crucial in statistical analysis for comparing population proportions.
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