Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 392 elementary school teachers and 267 high school teachers. Of the elementary school teachers, 226 said they were very satisfied with their jobs, whereas 129 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 four decimal places.) n USE SALT Interpret your 95% confidence interval. We are 95% confident that the difference between the proportions of elementary school teachers who are satisfied and high school teachers who are satisfied falls between these values. We are 95% confident that the difference between the proportions of elementary school teachers who are satisfied and high school teachers who are satisfied falls outside these values. o We are 95% confident that the difference between the proportions of elementary school teachers who are satisfied and high school teachers who are satisfied falls below the lower bound. We are 95% confident that the difference between the proportions elementary school teachers who are satisfied and high school teachers who are satisfied falls above the upper bound.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
### Teacher Job Satisfaction Study

An article reports the results of a survey conducted with the following participants:

- **Elementary School Teachers:** 392 respondents
- **High School Teachers:** 267 respondents

**Findings:**
- Out of the elementary school teachers, 226 were very satisfied with their jobs.
- Among the high school teachers, 129 were very satisfied.

**Objective:**
Estimate the difference in the proportion of satisfaction between all elementary and high school teachers by calculating a 95% confidence interval (CI), symbolized as \( P_{\text{elementary}} - P_{\text{high school}} \).

**Instructions:**
- Use statistical software or tables to calculate the CI to four decimal places.

**Confidence Interval Interpretation:**
Select the correct interpretation of the computed confidence interval:

- We are 95% confident that the difference between the proportions of satisfied elementary and high school teachers falls between these values.
- We are 95% confident that the difference between the proportions of satisfied elementary and high school teachers falls outside these values.
- We are 95% confident that the difference falls below the lower bound.
- We are 95% confident that the difference falls above the upper bound.

**Resources:**
You may need to refer to the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:### Teacher Job Satisfaction Study An article reports the results of a survey conducted with the following participants: - **Elementary School Teachers:** 392 respondents - **High School Teachers:** 267 respondents **Findings:** - Out of the elementary school teachers, 226 were very satisfied with their jobs. - Among the high school teachers, 129 were very satisfied. **Objective:** Estimate the difference in the proportion of satisfaction between all elementary and high school teachers by calculating a 95% confidence interval (CI), symbolized as \( P_{\text{elementary}} - P_{\text{high school}} \). **Instructions:** - Use statistical software or tables to calculate the CI to four decimal places. **Confidence Interval Interpretation:** Select the correct interpretation of the computed confidence interval: - We are 95% confident that the difference between the proportions of satisfied elementary and high school teachers falls between these values. - We are 95% confident that the difference between the proportions of satisfied elementary and high school teachers falls outside these values. - We are 95% confident that the difference falls below the lower bound. - We are 95% confident that the difference falls above the upper bound. **Resources:** You may need to refer to the appropriate table in the Appendix of Tables to answer this question.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman