Sample Question Female Physicians The percentage of physicians who are women is 27.9%. In a survey of physicians employed by a large university health system, 48 of 11l randomly selected physicians were women. Is there sufficient evidence at the 0.05 level of significance to conclude that the proportion of women physicians at the university health system exceeds 27.9%? Do not round intermediate steps. (a) State the hypotheses and identify the claim. (b) Find the critical value. (c) Compute the test value. (d) Make the decision. (e) Summarize the results.
Sample Question Female Physicians The percentage of physicians who are women is 27.9%. In a survey of physicians employed by a large university health system, 48 of 11l randomly selected physicians were women. Is there sufficient evidence at the 0.05 level of significance to conclude that the proportion of women physicians at the university health system exceeds 27.9%? Do not round intermediate steps. (a) State the hypotheses and identify the claim. (b) Find the critical value. (c) Compute the test value. (d) Make the decision. (e) Summarize the results.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The first pic is the question, since I’ve been receiving some incorrect answers from the tutors, I included an example problem in the second pic
![Sample Question
Female Physicians The percentage of physicians who are women is 27.9%. In a survey of physicians employed by
a large university health system, 48 of 111 randomly selected physicians were women. Is there sufficient evidence at
the 0.05 level of significance to conclude that the proportion of women physicians at the university health system
exceeds 27.9%?
Do not round intermediate steps.
(a) State the hypotheses and identify the claim.
(b) Find the critical value.
(c) Compute the test value.
(d) Make the decision.
(e) Summarize the results.
Explanation
(a) State the hypotheses and identify the claim.
The null hypothesis H, is the statement that there is no difference between a parameter and a specific value. This is
equivalent to p= 0.279.
The alternative hypothesis H, is the statement that there is a difference between a parameter and a specific value.
In this case, the proportion of women physicians at the university health system exceeds 27.9%. This is equivalent
to p>0.279.
The problem asks, "Is there sufficient evidence at the 0.05 level of significance to conclude that the proportion of
women physicians at the university health system exceeds 27.9%?"
Hence, the claim is the alternative hypothesis H-
(b) Find the critical value.
From the figure, for a right-tailed test with a= 0.05, the critical value is z=1.65.
a=0.10, C.V.--1.28
Summary of
Hypothesis
Testing and
Y= ri : H
a = 0.05, C.V.- 1.65
H :u<k
Critical Values
a-0.01, C.V.--2.33
(a) Left-tailed
a= 0.10, C.V.= +1.28
Ho :µ=k
H, : u>k
H, : u>k a=0.05, C.V.=+1.65
a=0.01, C.V.- +2.33
(b) Right-tailed
a-0.10, C.V.-±1.65
H:u=k
a= 0.05, C.V.-±1.96
a=0.01, C.V.-12.58
(c) Two-tailed
(c) Compute the test value.
First, it is necessary to find p. p, and q.
48
II
-0.432
p = 27.9%=0.279
q-1-p
-1-0.279
=0.721
Using the formula for the z test for proportions, compute the test value:
Vpg/n
0.432 - 0.279
V(0.279) (0.721)/111
= 3.59](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febd74823-85a4-4e17-8104-3bda7cea3b95%2F9df44fd0-59aa-4d5f-bde0-3301e767dbce%2Fbofrkmj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Sample Question
Female Physicians The percentage of physicians who are women is 27.9%. In a survey of physicians employed by
a large university health system, 48 of 111 randomly selected physicians were women. Is there sufficient evidence at
the 0.05 level of significance to conclude that the proportion of women physicians at the university health system
exceeds 27.9%?
Do not round intermediate steps.
(a) State the hypotheses and identify the claim.
(b) Find the critical value.
(c) Compute the test value.
(d) Make the decision.
(e) Summarize the results.
Explanation
(a) State the hypotheses and identify the claim.
The null hypothesis H, is the statement that there is no difference between a parameter and a specific value. This is
equivalent to p= 0.279.
The alternative hypothesis H, is the statement that there is a difference between a parameter and a specific value.
In this case, the proportion of women physicians at the university health system exceeds 27.9%. This is equivalent
to p>0.279.
The problem asks, "Is there sufficient evidence at the 0.05 level of significance to conclude that the proportion of
women physicians at the university health system exceeds 27.9%?"
Hence, the claim is the alternative hypothesis H-
(b) Find the critical value.
From the figure, for a right-tailed test with a= 0.05, the critical value is z=1.65.
a=0.10, C.V.--1.28
Summary of
Hypothesis
Testing and
Y= ri : H
a = 0.05, C.V.- 1.65
H :u<k
Critical Values
a-0.01, C.V.--2.33
(a) Left-tailed
a= 0.10, C.V.= +1.28
Ho :µ=k
H, : u>k
H, : u>k a=0.05, C.V.=+1.65
a=0.01, C.V.- +2.33
(b) Right-tailed
a-0.10, C.V.-±1.65
H:u=k
a= 0.05, C.V.-±1.96
a=0.01, C.V.-12.58
(c) Two-tailed
(c) Compute the test value.
First, it is necessary to find p. p, and q.
48
II
-0.432
p = 27.9%=0.279
q-1-p
-1-0.279
=0.721
Using the formula for the z test for proportions, compute the test value:
Vpg/n
0.432 - 0.279
V(0.279) (0.721)/111
= 3.59
![Female Physicians The percentage of physicians who are women is 27.9%. In a survey of physicians employed by a
large university health system, 44 of 112 randomly selected physicians were women. Is there sufficient evidence at the
0.01 level of significance to conclude that the proportion of women physicians at the university health system exceeds
27.9%?
Do not round intermediate steps.
Part: 0 / 5
Part 1 of 5
(a) State the hypotheses and identify the claim.
Ho :
(Choose one) ▼
H :
(Choose one) ▼
This hypothesis test is a (Choose one) ▼ test.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febd74823-85a4-4e17-8104-3bda7cea3b95%2F9df44fd0-59aa-4d5f-bde0-3301e767dbce%2F8obvg4f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Female Physicians The percentage of physicians who are women is 27.9%. In a survey of physicians employed by a
large university health system, 44 of 112 randomly selected physicians were women. Is there sufficient evidence at the
0.01 level of significance to conclude that the proportion of women physicians at the university health system exceeds
27.9%?
Do not round intermediate steps.
Part: 0 / 5
Part 1 of 5
(a) State the hypotheses and identify the claim.
Ho :
(Choose one) ▼
H :
(Choose one) ▼
This hypothesis test is a (Choose one) ▼ test.
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