Chapter 3, Problem 37E

(a)

To determine

To find: the percent of patients was discharge delayed.

Answer to Problem 37E

12.3%

Explanation of Solution

Given:

	Large hospital	Small hospital
Major Surgery	120 of 800	10 of 50
Minor Surgery	10 of 200	20 of 250

Calculation:

The total number of patients = 800+200+50+250=1300.

Number of patients for whom the discharge delayed = 120+10+10+20=160

Therefore, the percent of patient discharge delayed

  $\begin{array}{l}=\frac{\text{Number of patients for whom the discharge delayed}}{\text{Total number of patients in the study}}\\ =\frac{160}{1300}\times 100\\ =12.3\%\end{array}$

Therefore, the delay discharged patients percentage is 12.3%.

(b)

To determine

To find: the percentage different for minor and major surgery.

Answer to Problem 37E

For major surgery = 15.3%

For minor surgery is 6.7%.

Explanation of Solution

Given:

	Large hospital	Small hospital
Major Surgery	120 of 800	10 of 50
Minor Surgery	10 of 200	20 of 250

Calculation:

Total number of patient who undergo for major surgery = 850

Out of them only 130 patients discharges from hospital delayed

So, the percent for the major surgery

  $\begin{array}{l}=\frac{\text{Number of patients from major surgery for whom the discharge delayed}}{\text{Total number of patients who had major surgery}}\\ =\frac{130}{850}\times 100\\ =15.3\%\end{array}$

Total number of patent who undergo for minor surgery = 450

Out of them only 30 patients discharges from hospital delayed

Therefore, the percent for the minor surgery

  $\begin{array}{l}=\frac{\text{Number of patients from minor surgery for whom the discharge delayed}}{\text{Total number of patients who had major surgery}}\\ =\frac{30}{450}\times 100\\ =6.7\%\end{array}$

Percentage

For major surgery = 15.3%

For minor surgery is 6.7%.

Therefore, the percentages were different for the major and minor surgery.

(c)

To determine

To Explain: the discharge delay rates at every hospital.

Answer to Problem 37E

The percentage for large hospital is 13% and for small hospital is 10%.

Explanation of Solution

Given:

	Large hospital	Small hospital
Major Surgery	120 of 800	10 of 50
Minor Surgery	10 of 200	20 of 250

Calculation:

Total number of patient in large hospital = 800 + 200 = 1000

Out of them 120 + 10 =130

Patients discharge from hospital delayed.

Therefore, the percent of delayed discharge from large hospital is

  $\begin{array}{l}=\frac{\text{Number of patients from large hospital for whom the discharge delayed}}{\text{Total number of patients from large hospital}}\\ =\frac{30}{300}\times 100\\ =10\%\end{array}$

Therefore, the percentage for large hospital is 13% and for small hospital is 10%.

(d)

To determine

To Explain: the delay rates at each hospital for each kind of surgery.

Answer to Problem 37E

Large hospital: 5% in minor surgery, 15% in major surgery,

Small hospital: 8% in minor surgery, 20% in major surgery

Explanation of Solution

Given:

	Large hospital	Small hospital
Major Surgery	120 of 800	10 of 50
Minor Surgery	10 of 200	20 of 250

Calculation:

For Large hospital discharge delay at large hospital

For major surgery is

  $\frac{120}{800}\times 100=15.0\%$

For minor surgery is

  $\frac{10}{200}\times 100=5.0\%$

Small hospital:

For major surgery is

  $\frac{10}{50}\times 100=20.0\%$

For minor surgery is

  $\frac{20}{250}\times 100=8.0\%$

Therefore, the required percentages are

Large hospital: 5% in minor surgery, 15% in major surgery,

Small hospital: 8% in minor surgery, 20% in major surgery

(e)

To determine

To find: that the small hospital advertises for that it is having a lower rate of postsurgical complication, agree or not.

Answer to Problem 37E

No

Explanation of Solution

Given:

	Large hospital	Small hospital
Major Surgery	120 of 800	10 of 50
Minor Surgery	10 of 200	20 of 250

From the part (d), it could be understood that small hospitals have high rate of postsurgical complications comparatively, the reason is that discharge is delayed. Hence, the claim of lower rate of postsurgical complication by the smaller hospitals is not valid.

(f)

To determine

To Explain: in the briefly for the confusion occurs.

Explanation of Solution

Given:

	Large hospital	Small hospital
Major Surgery	120 of 800	10 of 50
Minor Surgery	10 of 200	20 of 250

In the small hospital have the large number of minor surgery. Minor surgeries are easy; it is not too much complicated. Therefore surgeries have few discharge delay rate. So, confusion would be there that small hospitals have overall discharge delay rate.