Admissions to the emergency department have been grouped by time of admission and patient problem. Counts...

Admissions to the emergency department have been grouped by time of admission and patient problem. Counts for the last week are as follows:

	Day	Evening	Night	Total
Minor injury	125	60	20	205
Abdominal pain	130	120	80	330
Other	210	170	140	520
Total	465	350	240	1055

A) What proportion of admissions are in the evening?

B) What proportion of admissions are in the evening and minor injuries?

C) What proportion of admissions are in the evening or minor injuries?

D) Among the admissions in the evening, what proportion are for minor injuries?

E) If the admission was for a minor injury, what proportion are in the evening?

F) Are “evening admission” and “minor injury” independent events? Use probability to justify the answer.

Solutions

Expert Solution

We will be looking at the first 4 parts here:

a) The proportion of admissions that happen in the evening is computed here as:
= Total admissions in evening / Total number of admissions
= 350 / 1055
= 0.3318

Therefore 0.3318 is the required proportion here.

b) The proportion of admissions that are in the evening and minor injuries is computed here as:
= Total admissions in evening and minor injuries / Total number of admissions
= 60/1055
= 0.0569

Therefore 0.0569 is the required probability here.

c) The proportion of admissions are in the evening or minor injuries is computed using law of addition as:

P( evening ) + P(minor injuries ) - P(evening and minor injuries)

= (350 + 205 - 60) / 1055

= 0.4692

Therefore 0.4692 is the required proportion here.

d) Among the admissions in evening, proportion of minor injuries here are computed using Bayes theorem as:

P(minor injuries | evening) = P(minor injuries and evening) / P(evening)

= 60/350

= 0.1714

Therefore 0.1714 is the required probability here.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A patient has been brought into the Emergency Department accompanied by by-standers who saw the patient...

A patient has been brought into the Emergency Department accompanied by by-standers who saw the patient collapse in the street. The patient is unconscious. How should the nurse proceed to assess the patient?

Let Y be the time in minutes between successive admissions to a hospital emergency room, and...

Let Y be the time in minutes between successive admissions to a hospital emergency room, and suppose that Y is exponentially distributed with parameter λ = 0.10. Find and interpret. a) The expected time and standard deviation between two successive admissions, interpret a conclusion. b) P (Y≤ 10.5) c) 63rd percentile (P63) and interpret. d) The probability of 2 patients arriving in half an hour. e) The probability that the time in 4 consecutive arrivals of the next 7 consecutive...

Diabetes question You are a nurse working in the accident and emergency department and have been...

Diabetes question You are a nurse working in the accident and emergency department and have been allocated to assess and care for Jack. Jack is a 27 years old, single man of Asian heritage who is homeless. He was diagnosed with Type 1 diabetes 12 months ago. He has a history of bipolar disorder. He has presented to the emergency department feeling unwell An assessment finding reveals the following on Jack Visually, Jack looks unwell and complains of nausea, abdominal...

Analyze Valley Hospital’s admissions time variance Valley Hospital began using standards to evaluate its Admissions Department....

Analyze Valley Hospital’s admissions time variance Valley Hospital began using standards to evaluate its Admissions Department. The standard was broken into two types of admissions as follows: Type of Admission Standard Time to Complete Admission Record Unscheduled 30 min. Scheduled 15 min. The unscheduled admission took longer because name, address, and insurance information needed to be determined and verified at the time of admission. Information was collected on scheduled admissions prior to admitting the patient, thus requiring less time in...

Does the emergency department have liability for discharging a suicidal patient without further treatment? Does the...

Does the emergency department have liability for discharging a suicidal patient without further treatment? Does the psychologist have liability for releasing the patient from suicide watch without further counseling or treatment? Would the estate of the daughter have a cause of action against the psychologist for failing to tell the daughter about the man’s death threats against her? Explain if the psychologist would be unethical in releasing this information. The psychologist is an “independent contractor” of the jail. Is the...

You have just received a new patient admitted through the emergency department. The report you receive...

You have just received a new patient admitted through the emergency department. The report you receive from the ED nurse is that Mr. Ramos is a 58 year old obese male with a history of diabetes and hypertension. He is a daily smoker. His wife states he has a high stress job as an executive financial officer. They walk every night for exercise. He doesn’t drink and she states they have tried to control his blood glucose levels but he...

How to calculate emergency department wait time across the state if you don't have access to...

How to calculate emergency department wait time across the state if you don't have access to all the records. Which sampling technique would be the most accurate to use for this study ? Detail your reasoning of why did you choose this method.

A patient with chest pain arrives in the emergency department. The staff hurries to perform a...

A patient with chest pain arrives in the emergency department. The staff hurries to perform a 12-lead electrocardiogram (ECG). The patient appears anxious and asks, “Why are all of these wires being hooked up to me?” Which of the following would be the best response by the nurse? Group of answer choices “The electrocardiogram wires will monitor your vital signs so we can see if there are any changes that require intervention.” “We are implementing this test to take the...

You are a nurse admitting a patient to the hospital from the emergency department (ED) with...

You are a nurse admitting a patient to the hospital from the emergency department (ED) with shortness of breath and recent weight loss. After receiving a report from the ED nurse, you ready the patient’s room according to unit specifications and collect the necessary equipment and forms. When the patient arrives, she is using oxygen via a nasal cannula and seems to be comfortable. As you begin your admission activities and paperwork, you note that her shortness of breath slightly...

You are a nurse admitting a patient to the hospital from the emergency department with shortness...

You are a nurse admitting a patient to the hospital from the emergency department with shortness of breath and recent weight loss. After receiving a report from the ED nurse you ready the patient's room according unit specifications and collect the necessary equipment and forms. When the patient arrives,she is using oxygen via a nasal cannula and seems to be comfortable .As you begin your admission activities and paperwork, you note that her shortness of breath slightly increases as she...

Subjects