In one city male and female voters were asked about their opinion on an environmental bond issue. Is there good evidence that one's gender influences whether a person is for or against the bond issue? A contingency table summarizing the opinions by gender is provided below. Does the data provide enough evidence to show that there is an association between gender and their opinion regarding a bond issue? Test at the 8% level and round expected values to one decimal place. Gender For (Observed) For (Expected Value) Against (Observed) Against (Expected Value) Row Total Male 58   421   479 Female 88   456   544 Column Total 146   877   1023 H: Hypotheses Ho:Ho:Select an answer Opinion? Gender Opinion For  and Select an answer Gender Gender Opinion Against  are Select an answer independent dependent          Ha:Ha:Select an answer Opinion? Gender Opinion For  and Select an answer Gender Gender Opinion Against  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 Opinion? Gender Opinion For  and Select an answer Gender Gender Opinion Against  are Select an answer independent dependent  .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In one city male and female voters were asked about their opinion on an environmental bond issue. Is there good evidence that one's gender influences whether a person is for or against the bond issue? A contingency table summarizing the opinions by gender is provided below. Does the data provide enough evidence to show that there is an association between gender and their opinion regarding a bond issue? Test at the 8% level and round expected values to one decimal place.



Gender For (Observed) For (Expected Value) Against (Observed) Against (Expected Value) Row Total
Male 58   421   479
Female 88   456   544
Column Total 146   877   1023



H: Hypotheses

Ho:Ho:Select an answer Opinion? Gender Opinion For  and Select an answer Gender Gender Opinion Against  are Select an answer independent dependent     

   
Ha:Ha:Select an answer Opinion? Gender Opinion For  and Select an answer Gender Gender Opinion Against  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 Opinion? Gender Opinion For  and Select an answer Gender Gender Opinion Against  are Select an answer independent dependent  .
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