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 1,137 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.
|
|
|
PARTY AFFILIATION |
|
|
|
Republican |
Democrat |
Independent |
|
Should |
264 |
299 |
351 |
| ANSWER |
Should Not |
38 |
55 |
77 |
|
Don't Know |
16 |
15 |
22 |
|
Total |
318 |
369 |
450 |
(a) Conduct an appropriate hypothesis tes 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.
(b) The conclusion of the test in part (a) may be incorrect, meaning a testing error was made. If an error was made, was it a Type I or a Type II error? Explain