Do teachers find their work rewarding and satisfying? The article “Work-Related Attitudes” (Psychological Reports, 1991: 443–450) reports the results of a survey of 395 elementary school teachers and 266 high school teachers. Of the elementary school teachers, 224 said they were very satisfied with their jobs, whereas 126 of the high school teachers were very satisfied with their work. (a)Estimate the difference between the proportion of all elementary school teachers who are very satisfied and all high school teachers using a 90% confidence interval. (b)Is there evidence that the proportion of elementary school teachers who are satisfied is significantly different with the proportion of high school teachers who are satisfied? Use appropriate significance level. Use p-value approach. (c)How do the results from a) and b) compare?

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Do teachers find their work rewarding and satisfying? The article “Work-Related Attitudes” (Psychological Reports, 1991: 443–450) reports the results of a survey of 395 elementary school teachers and 266 high school teachers. Of the elementary school teachers, 224 said they were very satisfied with their jobs, whereas 126 of the high school teachers were very satisfied with their work.
(a)Estimate the difference between the proportion of all elementary school teachers who are very satisfied and all high school teachers using a 90% confidence interval.
(b)Is there evidence that the proportion of elementary school teachers who are satisfied is significantly different with the proportion of high school teachers who are satisfied? Use appropriate significance level. Use p-value approach.
(c)How do the results from a) and b) compare?

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