A Test of Independence is performed to determine if there is an association between gender and grades at the significant level of αα = 0.01. The following table summarize the final grade of students in a classs during a particular semester. Round expected values to one decimal place. grade A (Observed) A (Expected Value) B (Observed) B (Expected Value) C (Observed) C (Expected Value) Row Total Male 5   14   12   31 Female 7   10   11   28 Column Total 12   24   23   59 H: Hypotheses Ho:Ho:Select an answer gender Males Females A  and Select an answer grade Males Females B  are Select an answer independent dependent          Ha:Ha:Select an answer gender Males Females A  and Select an answer grade Males Females B  are Select an answer independent dependent  Original Claim: Select an answer H₀ H₁  Enter the critical values, 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( ,) =    Test Statistic χ2χ2 =  (Round to three decimal places.) P-value =  (Round to four decimal places.) Decision: Select an answer reject H₀ fail to reject H₀ accept H₀ reject Hₐ fail to reject Hₐ  . Conclusion:          There Select an answer is is not  significant evidence to conclude that Select an answer gender Males Females A  and Select an answer grade Males Females B  are Select an answer independent dependent  . Submit QuestionQuestion 8

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A Test of Independence is performed to determine if there is an association between gender and grades at the significant level of αα = 0.01. The following table summarize the final grade of students in a classs during a particular semester. Round expected values to one decimal place.





grade A (Observed) A (Expected Value) (Observed) (Expected Value) (Observed) (Expected Value) Row Total
Male 5   14   12   31
Female 7   10   11   28
Column Total 12   24   23   59



H: Hypotheses

Ho:Ho:Select an answer gender Males Females A  and Select an answer grade Males Females B  are Select an answer independent dependent     

   
Ha:Ha:Select an answer gender Males Females A  and Select an answer grade Males Females B  are Select an answer independent dependent 

Original Claim: Select an answer H₀ H₁ 


Enter the critical values, 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( ,) = 

 



Test Statistic χ2χ2 =  (Round to three decimal places.)

P-value =  (Round to four decimal places.)

Decision: Select an answer reject H₀ fail to reject H₀ accept H₀ reject Hₐ fail to reject Hₐ  .

Conclusion:

 


       There Select an answer is is not  significant evidence to conclude that Select an answer gender Males Females A  and Select an answer grade Males Females B  are Select an answer independent dependent  .

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