Recently, a large academic medical center determined that
9
of
16
employees in a particular position were
female​,
whereas
42​%
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=0.42​;
H1​:
π≠0.42
B.
H0​:
π≥0.42​;
H1​:
π<0.42
C.
H0​:
π≤0.42​;
H1​:
π>0.42
D.
H0​:
π≠0.42​;
H1​:
π=0.42
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.
▼
Reject
Do not reject
the null hypothesis. There is
▼
insufficient
sufficient
evidence to conclude that the proportion of
females
in this position at this medical center is different from the proportion in the general workforce.