Question

) 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. Round all numeric answers to 4 decimal places. 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

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. H 0 : p 1 = p 2 H0:p1=p2 ; H A : p 1 > p 2 HA:p1>p2 B. H 0 : p 1 = p 2 H0:p1=p2 ; H A : p 1 ≠ p 2 HA:p1≠p2 C. H 0 : p 1 = p 2 H0:p1=p2 ; H A : p 1 < p 2 HA:p1

Answer 1

Solution:-

1) The proportion of Republicans who think the full-body scans should be applied in airports is 0.8296

Total number of republicans = 311

Number of Republicans who think the full-body scans should be applied in airports = 258

The proportion of Republicans who think the full-body scans should be applied in airports = 258/311

The proportion of Republicans who think the full-body scans should be applied in airports is 0.8296

2) The proportion of Democrats who think the full-body scans should be applied in airports is 0.8094

Total number of Democrats = 362

Number of Democrats who think the full-body scans should be applied in airports = 293

The proportion of Democrats who think the full-body scans should be applied in airports = 293/362

The proportion of Democrats who think the full-body scans should be applied in airports is 0.8094

3)

B) H₀ : p₁ = p₂

H_A : p₁ ≠ p₂