Provide a complete solution with all work shown A rural coun
Provide a complete solution with all work shown.
A rural county hospital offers several health services. The hospital administrators conducted a poll to determine whether the residents satisfaction with the available services depends on their gender. A random sample of 1,000 adult county residents were selected. The gender of each respondent was recorded and each was asked whether he or she was satisfied with the services offered by the hospital. The rulsting data are shown in the table below.
Is 800/1,000 a reasonable estimate for the proportion of all adult county residents who are satisfied with the services offered by the their hospital? Explain why or why not.
| Male | Female | Total | |
| Satisfied | 384 | 416 | 800 |
| Not Satisfied | 80 | 120 | 200 |
| Total | 464 | 536 | 1000 |
Solution
Because a random sample has been taken from the population of all county residents, 800/1,000 is a reasonable estimate for the proportion of all county residents who are satisfied with the services offered by this hospital.
