(9 points) A news article reports that Americans have differing views on two pot

Question

(9 points) A news article reports that Americans have differing views on two potentially implement to uncover potential terrorist attacks This news piece was based on a survey conducted among a random sample of 1180 adulits nationwide, interviewed by telephone November 7-10, 2010, where one of the questions on the survey was "Some airports are now using tulli Od digital x ray machines to electronically screen passengers in airport security ines 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 afillation. Round all numeric answers to 4 decimal places ent and invasive practices that alrports could Republican 274 Should 311 365 950 Should not Dont knowino answer 10$7 79 176 23 Total 329 384 467 1180 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 at all relevant conditions are met who think the full-body scans should be applied in airports? Assume th 4. Calculate the pooled estimate of a proportion for this test 5 Calculate the standard error for this test

Explanation / Answer

#1.
p1cap = 39/329 = 0.1185

#2.
p2cap = 16/384 = 0.0417

#3. Option A
H0: p1 - p2 = 0
Ha: p1 - p2 not equals to 0

#4.
pcap = (39 + 16)/(329 + 384) = 0.0771

#5.
SE = sqrt(0.0771*(1-0.0771)*(1/329 + 1/384))
SE = 0.0200

#6.
test statistics, z = (0.1185 - 0.0417)/0.0200
z = 3.8353

#7.
p-value = 0.0001

#7.
Reject H0

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