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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
Poor
15
5
10
30
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.
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