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 1140 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 | 265 | 300 | 352 | 917 |
Should not | 38 | 55 | 77 | 170 |
Don't know/No answer | 16 | 15 | 22 | 53 |
Total | 319 | 370 | 451 | 1140 |
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.
A. H0:p1=p2H0:p1=p2 ;
HA:p1>p2HA:p1>p2
B. H0:p1=p2H0:p1=p2 ;
HA:p1<p2HA:p1<p2
C. H0:p1=p2H0:p1=p2 ;
HA:p1≠p2HA:p1≠p2
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.
?(z,t,X^2,F) =
7. Calculate the p-value for this hypothesis test.
8. What is your
conclusion using alpha = .01
A. Reject H0H0
B. Do not reject H0H0
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