In: Statistics and Probability
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 1115 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.
Republican | Democrat | Independent | Total | |
Should | 258 | 293 | 345 | 896 |
Should not | 37 | 54 | 75 | 166 |
Don't know/No answer | 16 | 15 | 22 | 53 |
Total | 311 | 362 | 442 | 1115 |
We want to test to determine if party affiliation and opinion are
independent using the hypotheses:
H0:H0: Party affiliation and opinion are independent
HA:HA: Party affiliation and opinion are not independent
Round 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.
? z t X^2 F =
3. Calculate the degrees of freedom for this test.
4. Calculate the p-value for this hypothesis test.
5. What is your conclusion using alpha = .05
A. Reject H0H0
B. Do not reject H0H0