Do teachers find their work rewarding and satisfying? An article reports the res

Question

Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 396 elementary school teachers and 268 high school teachers. Of the elementary school teachers, 225 said they were very satisfied with their jobs, whereas 123 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 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 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 above the upper bound O 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 Need Help? Read It Talk to a Tutor

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary confidence interval:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions

95% confidence interval results:

Hence,

95% confidence interval will be:

(0.0322, 0.1863)

Interpretation: Option A is correct.

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit p1 - p2 225 396 123 268 0.10922659 0.039320778 0.032159286 0.1862939

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