Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 396 elementary school teachers and 268 high school teachers. Of the elementary school teachers, 229 said they were very satisfied with their jobs, whereas 121 of the high school teachers were very satisfied with their work. Estimate the difference between the proportion of all elementary school teachers who are satisfied and all high school teachers who are satisfied by calculating a 95% CI. (Use Pelementary Phigh school. Round your answers to four decimal places.)
Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 396 elementary school teachers and 268 high school teachers. Of the elementary school teachers, 229 said they were very satisfied with their jobs, whereas 121 of the high school teachers were very satisfied with their work. Estimate the difference between the proportion of all elementary school teachers who are satisfied and all high school teachers who are satisfied by calculating a 95% CI. (Use Pelementary Phigh school. Round your answers to four decimal places.)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![### Teacher Job Satisfaction Survey Analysis
**Do teachers find their work rewarding and satisfying?**
An article reports the results of a survey consisting of two groups:
- **396 elementary school teachers**
- **268 high school teachers**
**Survey Results**
- Of the elementary school teachers, **229** reported that they were very satisfied with their jobs.
- In contrast, **121** high school teachers expressed that they were very satisfied with their work.
**Objective**
Estimate the difference between the proportion of all elementary school teachers who are satisfied and all high school teachers who are satisfied by calculating a 95% confidence interval (CI).
(Specify the difference as \(P_{\text{elementary}} - P_{\text{high school}}\). Round your answers to four decimal places.)
---
**Calculate the CI Here:**
*Use the input fields below to calculate the confidence interval:*
\[
\left( \text{[ ]}, \text{[ ]} \right)
\]
](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdd9398b-9a89-4097-8d89-380633fcbf86%2F2e4f7c12-ed7c-4efa-ac76-5235152b892b%2F9kiuore_processed.png&w=3840&q=75)
Transcribed Image Text:### Teacher Job Satisfaction Survey Analysis
**Do teachers find their work rewarding and satisfying?**
An article reports the results of a survey consisting of two groups:
- **396 elementary school teachers**
- **268 high school teachers**
**Survey Results**
- Of the elementary school teachers, **229** reported that they were very satisfied with their jobs.
- In contrast, **121** high school teachers expressed that they were very satisfied with their work.
**Objective**
Estimate the difference between the proportion of all elementary school teachers who are satisfied and all high school teachers who are satisfied by calculating a 95% confidence interval (CI).
(Specify the difference as \(P_{\text{elementary}} - P_{\text{high school}}\). Round your answers to four decimal places.)
---
**Calculate the CI Here:**
*Use the input fields below to calculate the confidence interval:*
\[
\left( \text{[ ]}, \text{[ ]} \right)
\]
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