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
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
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.)
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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