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In a recent opinion poll, likely voters were asked if they would continue to sup

ID: 3265578 • Letter: I

Question

In a recent opinion poll, likely voters were asked if they would continue to support health care reform if the cost per taxpaying citizen was increased by $800 per year. Political preference was also recorded. The P-value for a chi-square test of independence is 0.001. Which of the following is a correct interpretation of this result? Democrat RepublicanIndependent Libertarian Support 125 87 48 Don't Support 75 113 101 52 Since P = 0.001, there is insufficient evidence that political preference and support are not independent of each other. In this case, knowing their political preference would not help in knowing their support. since P = 0.001, there is strong evidence that political preference and support are not independent of each other. In other words, knowing their political preference gives insight into their support of the increase. Since P = 0.001, there is insufficient evidence that political preference and support are independent of each other. Since they are not independent, there is no association between the two variables. 0 since P = 0.001, there is strong evidence that political preference and support are independent of each other. In other words, knowing their political preference gives no insight into their support of the increase. Since P = 0.001, there is strong evidence that political preference and support are independent of each other. Since they are independent, there is no association between the two variables.

Explanation / Answer

Answer - 1:

Since P = 0.001, there is strong evidence that political preference and support are not independent of each other.

Option B is correct.

Answer - 2:

Formula for expected frequency: E = (Row Total x Column Total)/(Grand Total)

Hence,

Required expected frequency = 92*82/157

Option E is correct.

Answer - 3:

Option E is correct.

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