A coin was flipped 78 times and came up heads 44 times. At the .10 level of significance, is the coin biased toward heads?   (a-1) H0: ππ ≤ .50 versus H1: ππ > .50. Choose the appropriate decision rule at the .10 level of significance.   Reject H0 if z > 1.282 Reject H0 if z < 1.282   multiple choice 2 a b   (a-2) Calculate the test statistic. (Carry out all intermediate calculations to at least 4 decimal places. Round your answer to 3 decimal places.)   Test statistic               (a-3) The null hypothesis should be rejected.   multiple choice 4 False True

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A coin was flipped 78 times and came up heads 44 times. At the .10 level of significance, is the coin biased toward heads?
 
(a-1) 
H0: ππ ≤ .50 versus H1: ππ > .50. Choose the appropriate decision rule at the .10 level of significance.
 

  1. Reject H0 if z > 1.282
  2. Reject H0 if z < 1.282

 
multiple choice 2

  • a
  • b


 
(a-2) 
Calculate the test statistic. (Carry out all intermediate calculations to at least 4 decimal places. Round your answer to 3 decimal places.)
 
Test statistic            
 
(a-3) 
The null hypothesis should be rejected.
 
multiple choice 4

  • False
  • True


 
(a-4) 
The true proportion is greater than .50.
 
multiple choice 6

  • False
  • True


 
(b-1) 
Find the p-value. (Round your answer to 4 decimal places.)
 
p
-value            
 
(b-2) 
Is the coin biased toward heads?
 
multiple choice 8

  • No
  • Yes
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