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, where on 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. Answer Party Affiliation Republican Democrat Independent Should 264 299 351 Should not 38 55 77 Don't Know/No answer 16 15 22 TOTAL 318 369 450 We can use hypothesis testing to see if there is actually bias in the population or if the differences in each political group is due to chance. What is the test statistic for the data in the table? What is the p-value for this test statistic? How many degrees of freedom does the chi-square distribution for this table have?
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, where on 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.
| Answer | Party Affiliation | ||
| Republican | Democrat | Independent | |
| Should | 264 | 299 | 351 |
| Should not | 38 | 55 | 77 |
| Don't Know/No answer | 16 | 15 | 22 |
| TOTAL | 318 | 369 | 450 |
We can use hypothesis testing to see if there is actually bias in the population or if the differences in each political group is due to chance.
What is the test statistic for the data in the table?
What is the p-value for this test statistic?
How many degrees of freedom does the chi-square distribution for this table have?
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