Do teachers find their work rewarding and satisfying? An article reports the results of a survey of398elementary school teachers and267high school teachers. Of the elementary school teachers,222said they were very satisfied with their jobs, whereas128of 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. (Usep_elementaryp_{high school}.Round your answers to four decimal places.)

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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.