Question

# Both before and after a recent earthquake, surveys were conducted asking voters which of the three...

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? You are conducting a Test of Independence for the claim that there is an association between the earthquake and the voter support at α=0.05α=0.05. The following table summarize the result of the survey.

Perez Chung Stevens 38 27 37 22 17 27
1. For this study, we should use Select an answer 1-PropZTest 1-PropZInt 2-PropZInt χ²GOF-Test 2-SampTInt ANOVA 2-SampTTest χ²-Test T-Test TInterval 2-PropZTest

2. Your friend Brittany helped you with the null and alternative hypotheses...
H0:H0: The votor support is independent from the earthquake
H1:H1: There is an association between the earthquake and the voter support

5. The p-value is Select an answer less than (or equal to) alpha greater than alpha  αα

6. Base on this, we should Select an answer accept the alternative hypothesis accept the null hypothesis fail to reject the null hypothesis reject the null hypothesis  hypothesis

7. As such, the final conclusion is that...
• The sample data suggests there is not sufficient evidence to conclude the claim that there is an association between the earthquake and the voter support at α=0.05α=0.05.
• The sample data suggests there is sufficient evidence to conclude the claim that there is an association between the earthquake and the voter support at α=0.05α=0.05.

χ²-Test for independence

below is expected value table:

 Expected Ei=row total*column total/grand total Perez Chung Stevens before 36.4 26.7 38.9 after 23.6 17.3 25.1
 Applying chi square test of independence:
 chi square    χ2 =(Oi-Ei)2/Ei Perez Chung Stevens Total before 0.068 0.003 0.089 0.1596 after 0.105 0.0047 0.1372 0.2467 total 0.1725 0.0078 0.2259 0.406 test statistic X2 = 0.406

The p-value for this sample = 0.8162

The p-value is greater than alpha

fail to reject the null hypothesis

The sample data suggests there is not sufficient evidence to conclude the claim that there is an association between the earthquake and the voter support at α=0.05

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