Both before and after a recent earthquake, surveys were conducted asking voters which of the three candidates they planned on voting for in the upcoming city council election. Has here been a change since the earthquake? A contingency table summarizing the data is provided below. Do the data provide enough evidence to show that there is an association between the earthquake and the voter support? Test at the 7% level and round expected values to one decimal place.
Both before and after a recent earthquake, surveys were conducted asking voters which of the three candidates they planned on voting for in the upcoming city council election. Has here been a change since the earthquake? A
| Earthquake Occurance | Before (Observed) | Before (Expected Value) | After (Observed) | After (Expected Value) | Row Total |
| Sanchez | 95 | 91 | 186 | ||
| Cheng | 60 | 48 | 108 | ||
| Jones | 47 | 82 | 129 | ||
| Column Total | 202 | 221 | 423 |
H: Hypotheses
Ho:Ho:Select an answer Candidate Sanchez Jones Before and Select an answer Earthquake Occurance Sanchez Jones After are Select an answer independent dependent
Ha:Ha:Select an answer Candidate Sanchez Jones Before and Select an answer Earthquake Occurance Sanchez Jones After 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 Candidate Sanchez Jones Before and Select an answer Earthquake Occurance Sanchez Jones After are Select an answer independent dependent .
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