Data for a certain community show that 18​% of the adult residents are German. Suppose 74 people are called for jury duty and only 12 of them are German. Does this apparent underrepresentation of Germans call into question the fairness of the jury selection​ system? Explain.   Write appropriate hypotheses.   H0​: ▼  p not equals 18 %p≠18% p equals 18 %p=18% p greater than 18 %p>18% p less than 18 %p<18% HA​: ▼  p equals 18 %p=18% p not equals 18 %p≠18% p greater than 18 %p>18% p less than 18 %p<18%   The test statistic is z=_______________ ​(Round to two decimal places as​ needed.)   The​ P-value is _____________________ ​(Round to three decimal places as​ needed.)   State your conclusion assuming a​ P-value smaller than 0.05 is significant.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Data for a certain community show that 18​% of the adult residents are German. Suppose 74 people are called for jury duty and only 12 of them are German. Does this apparent underrepresentation of Germans call into question the fairness of the jury selection​ system? Explain.

 

Write appropriate hypotheses.
 
H0​:
 p not equals 18 %p≠18%
p equals 18 %p=18%
p greater than 18 %p>18%
p less than 18 %p<18%
HA​:
 p equals 18 %p=18%
p not equals 18 %p≠18%
p greater than 18 %p>18%
p less than 18 %p<18%
 
The test statistic is
z=_______________
​(Round to two decimal places as​ needed.)
 
The​ P-value is
_____________________
​(Round to three decimal places as​ needed.)
 
State your conclusion assuming a​ P-value smaller than 0.05 is significant.
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