A news article reports that "Americans have differing views on two potentially inconvenient and invasive practices that airports could implement to uncover potential terrorist attacks." This news piece was based on a survey conducted among a random sample of 1,141 adults nationwide, interviewed by telephone, where one of the questions on the survey was "Some airports are now using 'full-body' digital x-ray machines to electronically screen passengers in airport security lines. Do you think these new x-ray machines should or should not be used at airports?" Below is a summary of responses based on party affiliation. Party Affiliation Republican Democrat Independent Answer Should Should not 264 299 351 39 56 77 Don't know/No answer Total 17 320 15 370 23 451 (a) Conduct an appropriate hypothesis test evaluating whether there is a difference in the proportion of Republicans and Democrats who think the full-body scans should be applied in airports. Assume that all relevant conditions are met. (Use a significance level of 0.05. Use PR - D.) State the appropriate null and alternative hypotheses. O Ho PR PD HA PR>PD O Ho: PR>PD HA: PRS PD Ho: PR = PD HA PR PD O Ho: PRS PD HA PRPD O Ho PR PD HA PR PD Calculate the test statistic and determine the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.)