llaboration Phi Delta Kappa (PDK) is an international professional organization for educators that, Gallup, has been conducting polls on the public's attitudes toward the public schools since 1969. The following was one of the questions on the most recent poll conducted June 4-13, 2011: "Most teachers in the nation now belong to unions or associations that bargain over salaries, working conditions, and the like. Has unionization, in your opinion, helped, hurt, or made no difference in the quality of public school education in the United States?" The respondents' answers broken down by party affiliation is shown below: Helped Hurt Made no difference Don't know/refused Republican Democrat Independent 35 146 69 197 78 178 52 105 90 6 12 4 Round your probabilities to 4 decimal places, as needed. Calculate P(Republican) Calculate P(Republican | Helped) Using your answers above, are believing that unionization helped the quality of public school education in the United States independent or dependent of being Republican? Being Republican and believing that unionization helped the quality of public school education are... O DEPENDENT, since P(Republican) = P(Republican | Helped). O INDEPENDENT, since P(Republican) + P(Republican | Helped). D(Republican) + P(Republican | Helped).