Suppose that a reputable research firm conducts a poll of US adults, asking "do you agree with issue A?" Among 561 Democrats, 253 of them answer "yes." Among 602 Republicans, 304 of them answer "yes." You are interested in testing the claim that the proportion of Republicans who agree with issue A is greater than the proportion of Democrats who agree with issue A. (a) What are the null and alternative hypotheses? Let P, andp2 denote the proportion of De- mocrats and Republicans respectively who agree with issue A. (b) Are the requirements met to perform the hypothesis test? Verify them. (c) What is the P-Value? At the 0.05 level of significance, do we reject or fail to reject the null hypothesis? Can we support the claim that a greater proportion of Republicans agree with issue A versus Democrats? (d) Suppose that the actual population data varies from the sample data, and the result you obtained in your hypothesis test is not reflective of the population. Did you make a type I or type II error? Explain.