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Recently, a large academic medical center determined that 7 of 15 employees in a particular position were male,​whereas 56​% of the employees for this position in the general workforce were male. At the 0.01 level of significance, is there evidence that the proportion of males in this position at this medical center is different from what would be expected in the general​ workforce?  What are the correct hypotheses to test to determine if the proportion is​ different?

Recently, a large academic medical center determined that 7 of 15 employees in a particular position were male,​whereas 56​% of the employees for this position in the general workforce were male. At the 0.01 level of significance, is there evidence that the proportion of males in this position at this medical center is different from what would be expected in the general​ workforce?  What are the correct hypotheses to test to determine if the proportion is​ different?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Recently, a large academic medical center determined that 7 of 15 employees in a particular position were male,​whereas 56​% of the employees for this position in the general workforce were male. At the 0.01 level of significance, is there evidence that the proportion of males in this position at this medical center is different from what would be expected in the general​ workforce? 

What are the correct hypotheses to test to determine if the proportion is​ different?
 
 
A. H0​:π≥0.56​; H1​:π<0.56
 
B. H0​:π=0.56​; H1​:π≠0.56
 
C.H0​:π≤0.56​; H1​:π>0.56
 
D.H0​:π≠0.56​; H1​:π=0.56
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.....
​(Type an integer or a decimal. Round to three decimal places as​ needed.)
 
State conclusion of test
 
Reject/Do not reject the null hypothesis. There is sufficient/insufficient
evidence to conclude that the proportion of males in this position at this medical center is different from the proportion in the general workforce.
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