Question

A certain health maintenance organization (HMO) wishes to study why patients leave the HMO. A SRS of 285 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 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	Medical complaint	Nonmedical complaint
Total	120	108	57
Left	45	36	14

If the null hypothesis is H0:p1=p2=p3 and using ?=0.01, 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:

Answer 1

	No complaint	Medical complaint	Nonmedical complaint	Total
Total	120	108	57	285
Left	45	36	14	95

Under the null hypothesis of equal proportions,expected proportion of people who left:

Part-A:

Expected number of people with no complaint who leave the HMO =

Part-B:

Expected number of people with a medical complaint who leave the HMO = ?

Part-C:

Expected number of people with a nonmedical complaint who leave the HMO = ?