Question

6.32 Full body scan, Part I. 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 Should not 38 55 77 Don't know / No answer 16 15 22 Total 318 369 450 (a) Conduct an appropriate 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. If possible, refrain from using chi-square distribution. If you must use it, please explain why it is necessary. (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.

          6.32 Full body scan, Part I. 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
Should not
38
55
77
Don't know / No answer
16
15
22
Total
318
369
450
(a) Conduct an appropriate 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. If
possible, refrain from using chi-square distribution. If you must
use it, please explain why it is necessary.
(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.

Added by Micheal M.

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