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 1116 adults nationwide, interviewed by telephone November 7-10, 2010, 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. Round all numeric answers to 4 decimal places.
Republican Democrat Independent Total
Should 258 294 345 897
Should not 37 54 75 166
Don't know/No answer 16 15 22 53
Total 311 363 442 1116
1. What is the proportion of Republicans who think the full-body scans should be applied in airports?
2. What is the proportion of Democrats who think the full-body scans should be applied in airports?
3. What are the correct hypotheses for a 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.
4. Calculate the pooled estimate of a proportion for this test.
5. Calculate the standard error for this test.
6. Calculate the test statistic for this hypothesis test.
7. Calculate the p-value for this hypothesis test.