management of geriatric patients who were transferred from the emergency room to the geriatric ward. The two methods were "usual care" and "geriatric team care." The assignment of patients to the two groups was done at random; 36 were assigned to the "usual care" group (control group, C) and 41 to the "geriatric team care" group (treatment group, T). The researcher is interested in carrying out a hypothesis test to see if the average hospitalization cost for the "geriatric team care" is less than that for the "usual care" at the significance level of 0.02. The sample mean

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
Problem 2EA
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Q7

A study was carried out at an Edmonton hospital
to compare two different methods of care
management of geriatric patients who were
transferred from the emergency room to the
geriatric ward. The two methods were "usual
care" and "geriatric team care." The assignment
of patients to the two groups was done at
random; 36 were assigned to the "usual care"
group (control group, C) and 41 to the "geriatric
team care" group (treatment group, T). The
researcher is interested in carrying out a
hypothesis test to see if the average
hospitalization cost for the "geriatric team care"
is less than that for the "usual care" at the
significance level of 0.02. The sample mean
hospitalization cost for the control group is 3705
dollars with a sample standard deviation of 1200
dollars. The sample mean hospitalization cost for
the "geriatric team care" is 2705 dollars with a
sample standard deviation of 1145 dollars.
(a) What are the null and alternative hypotheses?
Ho:
р
< ♦
0
HA: P
◆ = ♦
(b) What is the test statistic? (Round your answer
to 3 decimal places, if needed.)
(c) Using the statistical table, the p-value is
0.005 < p-value < 0.01 +
(d) Based on the p-value, the researcher should
reject
→ the null hypothesis.
(e) This data provides
evidence to conclude that the average
hospitalization cost for the "geriatric team care"
is less than
◆ the average hospitalization
cost for "usual care".
Check
◆ sufficient
Transcribed Image Text:A study was carried out at an Edmonton hospital to compare two different methods of care management of geriatric patients who were transferred from the emergency room to the geriatric ward. The two methods were "usual care" and "geriatric team care." The assignment of patients to the two groups was done at random; 36 were assigned to the "usual care" group (control group, C) and 41 to the "geriatric team care" group (treatment group, T). The researcher is interested in carrying out a hypothesis test to see if the average hospitalization cost for the "geriatric team care" is less than that for the "usual care" at the significance level of 0.02. The sample mean hospitalization cost for the control group is 3705 dollars with a sample standard deviation of 1200 dollars. The sample mean hospitalization cost for the "geriatric team care" is 2705 dollars with a sample standard deviation of 1145 dollars. (a) What are the null and alternative hypotheses? Ho: р < ♦ 0 HA: P ◆ = ♦ (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.005 < p-value < 0.01 + (d) Based on the p-value, the researcher should reject → the null hypothesis. (e) This data provides evidence to conclude that the average hospitalization cost for the "geriatric team care" is less than ◆ the average hospitalization cost for "usual care". Check ◆ sufficient
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