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Recently, a large academic medical center determined that 13 of 20 employees in a particular position were female​, whereas 41​% of the employees for this position in the general workforce were female. At the 0.01 level of​ significance, is there evidence that the proportion of females in this position at this medical center is different from what would be expected in the general​ workforce?

Recently, a large academic medical center determined that 13 of 20 employees in a particular position were female​, whereas 41​% of the employees for this position in the general workforce were female. At the 0.01 level of​ significance, is there evidence that the proportion of females in this position at this medical center is different from what would be expected in the general​ workforce?

MATLAB: An Introduction with Applications
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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Recently, a large academic medical center determined that
13
of
20
employees in a particular position were
female​,
whereas
41​%
of the employees for this position in the general workforce were
female.
At the
0.01
level of​ significance, is there evidence that the proportion of
females
in this position at this medical center is different from what would be expected in the general​ workforce?
 
 
 

Question content area bottom

Part 1
What are the correct hypotheses to test to determine if the proportion is​ different?
 
 
A.
H0​:
π≤0.41​;
H1​:
π>0.41
 
B.
H0​:
π≥0.41​;
H1​:
π<0.41
 
C.
H0​:
π=0.41​;
H1​:
π≠0.41
 
D.
H0​:
π≠0.41​;
H1​:
π=0.41
Part 2
Calculate the test statistic.
 
ZSTAT=enter your response here
​(Type an integer or a decimal. Round to two decimal places as​ needed.)
Part 3
What is the​ p-value?
 
The​ p-value is
enter your response here.
​(Type an integer or a decimal. Round to three decimal places as​ needed.)
Part 4
State the conclusion of the test.
 
▼
 
Do not reject
Reject
the null hypothesis. There is
▼
 
sufficient
insufficient
evidence to conclude that the proportion of
females
in this position at this medical center is different from the proportion in the general workforce.
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