A certain health maintenance organization (HMO) wishes to study why patients leave the HMO. A SRS of 300 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	$84$	$135$	$81$
Left	$34$	$55$	$11$

If the null hypothesis is $H_0: p_1 = p_2 = p_3$ and using $\alpha = 0.05$, 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:

(g) The final conclusion is

A. There is not sufficient evidence to reject the null hypothesis.
B. We can reject the null hypothesis that the proportions are equal.