Do teachers find their work rewarding and satisfying An arti

Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 392 elementary school teachers and 269 high school teachers. Of the elementary school teachers, 222 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% CL (Use Pelementary \" Phigh school- Round your answers to four decimal places.)

Solution

Group 1

Number of Items of Interest

222

Sample Size

392

Group 2

Number of Items of Interest

124

Sample Size

269

Intermediate Calculations

Group 1 Proportion

0.5663

Group 2 Proportion

0.4610

Difference in Two Proportions

0.1054

Average Proportion

0.5234

Confidence Interval Estimate

of the Difference Between Two Proportions

Data

Confidence Level

95%

Intermediate Calculations

Z Value

1.9600

Std. Error of the Diff. between two Proportions

0.0394

Interval Half Width

0.0772

Confidence Interval

Interval Lower Limit

0.0282

Interval Upper Limit

0.1825

95% CI =(0.0282, 0.1825)

Group 1
Number of Items of Interest	222
Sample Size	392
Group 2
Number of Items of Interest	124
Sample Size	269
Intermediate Calculations
Group 1 Proportion	0.5663
Group 2 Proportion	0.4610
Difference in Two Proportions	0.1054
Average Proportion	0.5234