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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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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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