A coin was flipped 69 times and came up heads 39 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   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.   False True

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A coin was flipped 69 times and came up heads 39 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

 

  • 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.
 

  • False
  • True


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

  • 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?
 

  • No
  • Yes

 

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