est the claim that a six-sided dice is fair at the 0.1 significance level. Complete the table. Round all answers to three decimal places. Number rolled on dice Observed Frequency Expected Frequency (O−E)2E(O-E)2E 1 6     2 24     3 22     4 7     5 20     6 17     H0H0: p₁ = p₂ = p₃ = p₄ = p₅ = p₆ H1H1: at least one is different Original claim = Select an answer H₁ H₀    Enter the critical value, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.)   X2Χ2(,) =  (Round to three decimal places.)   Test Statistic =  (Round to three decimal places.) p-value= (Round to four decimal places.) Decision: Select an answer Accept the alternative hypothesis Accept the null hypothesis Fail to reject the null hypothesis Reject the null hypothesis  Conclusion: Select an answer There is not sufficient evidence to warrant rejection of There is sufficient evidence to warrant rejection of The sample data supports There is not enough evidence to support  the claim that all 6 categories are equally likely to be selected.

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Test the claim that a six-sided dice is fair at the 0.1 significance level. Complete the table. Round all answers to three decimal places.



Number rolled on dice Observed
Frequency
Expected
Frequency
(O−E)2E(O-E)2E
1 6    
2 24    
3 22    
4 7    
5 20    
6 17    



H0H0: p₁ = p₂ = p₃ = p₄ = p₅ = p₆
H1H1: at least one is different

Original claim = Select an answer H₁ H₀ 

 

Enter the critical value, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.)

 
X2Χ2(,) = 


(Round to three decimal places.)

 

Test Statistic =  (Round to three decimal places.)
p-value=
(Round to four decimal places.)


Decision: Select an answer Accept the alternative hypothesis Accept the null hypothesis Fail to reject the null hypothesis Reject the null hypothesis 

Conclusion: Select an answer There is not sufficient evidence to warrant rejection of There is sufficient evidence to warrant rejection of The sample data supports There is not enough evidence to support  the claim that all 6 categories are equally likely to be selected.

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