In: Statistics and Probability
Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 397 elementary school teachers and 261 high school teachers. Of the elementary school teachers, 223 said they were very satisfied with their jobs, whereas 121 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.