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 .
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
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.)
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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