1. a) Another verisble in this AHA database is Service, which is essentially the type of hospital, In the database under Service, there are 15 different types of hospitals coded from 1 to 15. As an example, code 3 represents orthopedic hospitals. Using the database and techniques presented in this chapter, test to determine if the Service (type of hospital) is independent of Region. (Round answer to 3 decimal places, e.g. 15.251.)

Using the American Hospital Association database attached on link below : https://docs.google.com/spreadsheets/d/1sBPZ5g7qh0B4s78K4Ei8j95Om4eLSvqKq1tFgWbixnc/edit#gid=1642714593

- calculate Chi-square k value : - and check if the service that a hospital offers is independent or not and support your idea