A certain health maintenance organization (HMO) wishes to study why patients leave the HMO. A SRS of 348 patients was taken. Data was collected on whether a patient had filed a complaint and, if so, whether the complaint was medical or non-medical 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 Non-medical complaint

Total 93 186 69

Left 41 60 15

If the null hypothesis isH₀:p₁=p₂=p₃and using=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 non-medical complaint who leave the HMO:

(d) Find the test statistic:

(e) Find the degrees of freedom:

(f) Find the critical value: