Question

12.50 U.S. Hospitals. The American Hospital Association publishes 12.30 U.S. information about U.S. hospitals and nursing homes in Hospital Statistics. The following contingency table provides a cross classification of U.S. hospitals and nursing homes by type of facility and number of beds.

In the following questions, the term hospital refers to either a hospital or nursing home.

	24 or fewer	25-74	75 or more	Total
General	260	1586	3557	5403
Psychiatric	24	242	471	737
Chronic	1	3	22	36
Tuberculosis	0	2	2	4
Other	25	177	208	410
Total	310	2010	4260	6580

a. How many hospitals have at least 75 beds?

b. How many hospitals are psychiatric facilities?

c. How many hospitals are psychiatric facilities with at least 75 beds?

d. How many hospitals either are psychiatric facilities or have at least 75 beds?

e. How many general facilities have between 25 and 74 beds?

f. How many hospitals with between 25 and 74 beds are chronic facilities?

g. How many hospitals have more than 24 beds?

Short answer

(a) 4260 hospitals are there.

(b)737 hospitals are there.

(c)471 hospitals are there.

(d)4256 hospitals are there.

(e)1586 hospitals are there.

(f)3 hospitals are there.

(g)6270 hospitals are there.

Step-by-step solution

Step 1. Given

The given contingency table:-

	24 or fewer	25-74	75 or more	Total
General	260	1586	3557	5403
Psychiatric	24	242	471	737
Chronic	1	3	22	36
Tuberculosis	0	2	2	4
Other	25	177	208	410
Total	310	2010	4260	6580

Step 2. Part (a)  Finding the number of hospitals having at least 75 beds

4260 hospitals are there.

Step 3. Part (b) Finding  hospitals which are  psychiatric facilities

737 hospitals are there.

Step 4. Part(c) Finding  hospitals which are psychiatric facilities with at least 75 beds.

471 hospitals are there.

Step 5. Part (d) Finding hospitals which are either  psychiatric facilities or have at least 75 beds

4256 hospitals are there.

Step 6. Part (e) Finding  general facilities have between 25 and 74 beds

1586 hospitals are there.

Step 7. Part (f) Finding  hospitals with between 25 and 74 beds are chronic facilities

3 hospitals are there.

Step 8. Part(g) Finding hospitals have more than 24 beds

6270 hospitals are there.