Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 398 elementary school teachers and 267 high school teachers. Of the elementary school teachers, 222 said they were very satisfied with their jobs, whereas 128 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.) , 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 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 falls 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.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. You may need to use the appropriate table in the Appendix of Tables to answer this question

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 398 elementary school teachers and 267 high school teachers. Of the elementary school teachers, 222 said they were very satisfied with their jobs, whereas 128 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 p_elementary − p_{high school}. Round your answers to four decimal places.)

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 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 falls 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.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.

You may need to use the appropriate table in the Appendix of Tables to answer this question

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