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pollsters are concerned about declining levels of cooperation among persons cont

ID: 3209243 • Letter: P

Question

pollsters are concerned about declining levels of cooperation among persons contacted in surveys. a pollster contacts 85 people in the 18-21 age bracket and finds that 45 of them respond and 40 refuse to respond. when 294 people in the 22-29 age bracket are contacted, 284 respond and 10 refuse to respond. suppose that one of the 379 people is randomly selected. find the probability of getting someone in the 18-21 age bracket or someone who refused to respond.
p( person is in thr 18-21 age bracket or refused to respond) =

Explanation / Answer

P(response for 18-21 age) = 45/85

P(response for 22-29 age) = 284/294

P(person is in the 18-21 age bracket or refused to respond) = 0.2506

= [(ages 18-21) + (other age brackets who refused)] ÷ (total people)

= (85 + 10) ÷ 379

= 0.2506