four decimal places.) USE SALT 5% confidence interval. % 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. % 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. % 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. % 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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.2: Proportions
Problem 47WE
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Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 397 elementary school teachers and 269 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 to four decimal places.)
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.
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 roportions of elementary school teachers who are satisfied and high school teachers who are satisfied falls above the upper bound.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 397 elementary school teachers and 269 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 to four decimal places.) 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. 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 roportions of elementary school teachers who are satisfied and high school teachers who are satisfied falls above the upper bound. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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