A hospital would like to determine whether there is a relationship between the level of satisfaction of workers with working conditions and their job category. A random sample of 250 employees was surveyed. The results are summarized in the table below.
| |
Nurses
|
Support Staff
|
Doctors
|
Total
|
|
Satisfactory
|
40
|
80
|
20
|
140
|
|
Indifferent
|
20
|
40
|
20
|
80
|
|
Poor
|
15
|
5
|
10
|
30
|
|
Total
|
75
|
125
|
50
|
250
|
i. Find a 98% confidence interval for the true proportion of all workers that are satisfied with working conditions?
ii. Is there sufficient evidence that support staff are more satisfied with working conditions than are nursing staff? Use a level of significancea=.10.