Question

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, 221 said they were very satisfied with their jobs, whereas 124 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 p_elementary − p_{high school}. Round your answers to four decimal places.)

Answer 1

Given:-

Pelementary -

n1 = 397

x1 = 221

= (x1/n1)

Phigh -

n2 = 269

x2 = 124

= (x2/n2)

95% confidence level at alpha=5% = 0.05 then

Critical value is Zc= 1.96

Here we can use ti-83 calculator.

95% confidence interval is 0.0187 and 0.1728