(16 points) A news article reports that “Americans have differing views on two potentially inconvenient and invasive practices that airports could implement touncover potential terrorist attacks.” This news piece was based on a survey conducted among a random sample of 1119 adults nationwide, interviewed bytelephone November 7—10, 2010, where one of the questions on the survey was “Some airports are now using ‘full—body’ digital x—ray machines toelectronically screen passengers in airport security lines. Do you think these new x—ray machines should or should not be used at airports?” Below is asummary of responses based on party affiliation. Republican Democrat Independent TotalShould 259 295 346 900Should not 37 54 75 166Don’t know/No answer 16 15 22 53Total 312 364 443 1 119 We want to test to determine if party affiliation and opinion are independent using the hypotheses:H0 2 Party affiliation and opinion are independentHA : Party affiliation and opinion are not independent Flound all numeric answers to four decimal places.1. What is the expected value for the number of Republicans who think x—ray machines should be used at airports? 2. Calculate the test statistic for this hypothesis test.? ‘ = 3. Calculate the degrees of freedom for this test. 4. Calculate the p—value for this hypothesis test. 5. Based on the p—value, we have: A A. some evidence A B. little evidence A c. very strong evidence A D. extremely strong evidence A E. strong evidence that the null model is not a good fit for our observed data.

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