Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 391 elementary school teachers and 265 high school teachers. Of the elementary school teachers, 225 said they were very satisfied with their jobs, whereas 127 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.) LAUSE 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 outside 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 above the upper bound. 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 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 below the lower bound. You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read It
Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 391 elementary school teachers and 265 high school teachers. Of the elementary school teachers, 225 said they were very satisfied with their jobs, whereas 127 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.) LAUSE 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 outside 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 above the upper bound. 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 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 below the lower bound. You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read It
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:**Question: Interpreting a 95% Confidence Interval**
An article reports the results of a survey of elementary and high school teachers' job satisfaction. In the survey, 391 elementary school teachers were questioned, with 225 expressing they were very satisfied with their jobs. In contrast, 327 out of 457 high school teachers reported being very satisfied. The task is to estimate the difference in proportions of job satisfaction between elementary and high school teachers by calculating a 95% confidence interval (CI).
**Options:**
- 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.
- We are 95% confident that the difference between the proportions of elementary school teachers who are satisfied and high school teachers who are satisfied is above the upper bound.
- We are 95% confident that the difference between the proportions of elementary school teachers who are satisfied and high school teachers who are satisfied is below the lower bound.
- 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.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
**Important Note:** The question requires calculating the 95% confidence interval to understand the difference between the satisfaction levels of elementary and high school teachers.
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