Question

A certain health maintenance organization (HMO) wishes to study why patients leave the HMO. A SRS of 480 patients was taken. Data was collected on whether a patient had filed a complaint and, if so, whether the complaint was medical or nonmedical in nature. After a year, a tally from these patients was collected to count the number who left the HMO voluntarily. Here are the data on the total number in each group and the number who voluntarily left the HMO: No complaint: 180 Medical complaint: 129 Nonmedical complaint: 171 Total: 480 Left: 61 (No complaint), 53 (Medical complaint), 46 (Nonmedical complaint) If the null hypothesis is H0: p1 = p2 = p3 and using Î± = 0.05, then do the following: (a) Find the expected number of people with no complaint who leave the HMO. (b) Find the expected number of people with a medical complaint who leave the HMO. (c) Find the expected number of people with a nonmedical complaint who leave the HMO. (d) Find the test statistic. (e) Find the degrees of freedom. (f) Find the critical value.

          A certain health maintenance organization (HMO) wishes to study why patients leave the HMO. A SRS of 480 patients was taken. Data was collected on whether a patient had filed a complaint and, if so, whether the complaint was medical or nonmedical in nature. After a year, a tally from these patients was collected to count the number who left the HMO voluntarily. Here are the data on the total number in each group and the number who voluntarily left the HMO:  
No complaint: 180
Medical complaint: 129
Nonmedical complaint: 171
Total: 480
Left: 61 (No complaint), 53 (Medical complaint), 46 (Nonmedical complaint)

If the null hypothesis is H0: p1 = p2 = p3 and using Î± = 0.05, then do the following: 
(a) Find the expected number of people with no complaint who leave the HMO. 
(b) Find the expected number of people with a medical complaint who leave the HMO. 
(c) Find the expected number of people with a nonmedical complaint who leave the HMO. 
(d) Find the test statistic. 
(e) Find the degrees of freedom. 
(f) Find the critical value.

Added by Ricardo M.

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