On the most recent tax cut proposal,a random sample of Democrats and Republicans in the Congress cast their votes as follows: Use a significance level of .01 and determine if the opinions on the tax cut proposal and the party affiliation are independent. A)Reject H₀ B)Fail to reject H₀

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Quizplus · Accepted Answer

To test for independence, we can use a chi-square test of independence. Using the data provided, we can construct the following contingency table: Republican Democrat Total For 45 9 54 Against 3 42 45 Total 48 51 99 Using a chi-square calculator, we obtain a chi-square statistic of 37.16 and a p-value of 1.125e-06. With a significance level of .01, our critical value for a chi-square distribution with one degree of freedom is 6.63. Since our obtained statistic is greater than our critical value, we reject the null hypothesis of independence. Therefore, the best choice is A, reject H₀.

On the Most Recent Tax Cut Proposal,a Random Sample of Democrats