Question 5 [10 marks] The first question on the US. IRS Income Tax Form 1040 asks taxpayers whether they want $3 to go to the Presidential Election Campaign Fund. A large Washington, D.C., political-action committee obtained a random sample of registered voters and asked them if they checked Yes on this question on the past year's return. The results are given in the table, by party affiliation. Political party Sample size Number who checked Yes 7 1 23 a. [3 marks] Find a 95% confidence interval for the true proportion of registered voters in each political party who checked Yes on the Presidential Election Campaign Fund question. b. [4 marks] Is there any evidence to suggest that the proportion of Independent voters who checked Yes is different from the proportions of either Democrat or Republican voters who checked Yes? Justify your answer. c. [3 marks] Suppose the results obtained in this study are preliminary and a larger survey is planned. How large a sample is necessary for each political party for the bound on the error of estimation to be 0.02 with a confidence level of 95%