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?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
Related questions
Question
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?
H0:
π≤0.41;
H1:
π>0.41
H0:
π≥0.41;
H1:
π<0.41
H0:
π=0.41;
H1:
π≠0.41
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
▼
sufficient
insufficient
females
in this position at this medical center is different from the proportion in the general workforce.Expert Solution
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