Costa-Gravis Energy is testing the political climate for building a new oil refining facility in three north central states: North Dakota, South Dakota and Minnesota.The company has randomly selected a sample of 100 registered voters in each state to determine the proportion of state voters who would strongly oppose the construction.A minority of voters in each of the three samples expressed opposition to construction of the facility. You use the chi-square distribution to test the hypothesis that the proportion of all voters who would strongly opposed construction is the same across the three states.Suppose the p-value for the sample result turns out to be .0015.If the significance level for the test is 1%, what should you conclude?
A) The sample provides strong evidence that the proportion of all state voters who would strongly oppose construction of the refinery is the same in all three states.
B) The sample provides strong evidence that the proportion of all state voters who would strongly oppose construction of the refinery is not the same in all three states.
C) You can't reject the hypothesis that the proportion of all state voters who would strongly oppose construction of the refinery is the same in all three states.
D) You can't accept the hypothesis that the proportion of all state voters who would support construction of the refinery is the same in all three states.
Correct Answer:
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