Jse the normal distribution to find a confidence interval for a difference in proportions p – p2 given the relevant sample results. Assume the results come from random samples. A 99% confidence interval for p1 - P2 given counts of 274 yes out of 570 sampled for Group 1 and 339 yes out 325 sampled for Group 2 Give the best estimate for p – p2, the margin of error, and the confidence interval. Round your answers to three decimal places.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![# Educational Content: Constructing a Confidence Interval for Difference in Proportions
**Current Attempt in Progress**
Use the normal distribution to find a confidence interval for a difference in proportions \( p_1 - p_2 \) given the relevant sample results. Assume the results come from random samples.
A 99% confidence interval for \( p_1 - p_2 \) given counts of 274 "yes" out of 570 sampled for Group 1 and 339 "yes" out of 825 sampled for Group 2.
- **Objective**: Provide the best estimate for \( p_1 - p_2 \), the margin of error, and the confidence interval.
### Instructions
- **Round your answers to three decimal places.**
1. **Best estimate**:
- Enter your calculated best estimate for the difference in proportions \( p_1 - p_2 \).
2. **Margin of error**:
- Calculate and enter the margin of error for the confidence interval.
3. **Confidence interval**:
- Enter the lower limit to the upper limit of the confidence interval.
**Interactive Elements**
- Input fields are provided for entering:
- Best estimate
- Margin of error
- Lower and upper limits of the confidence interval
### Functionality
- **Save for Later**: Allows you to save your current work and return to it at another time.
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