Pollsters are concerned about declining levels of cooperation among persons cont

Question

Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 79 people in the 18-21 age bracket and finds that 44 of them respond and 35 refuse to respond. When 273 people in the 22-29 age bracket are contacted, 244 respond and 29 refuse to respond. Suppose that one of the 352 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who refused to respond P(person is in the 22-29 age bracket or refused to respond)- (Do not round until the final answer. Then round to three decimal places as needed.)

Explanation / Answer

P(getting someone in the 22-29 age bracket or someone who refused to respond) = P(getting someone in the 22-29 age bracket) + P(getting someone who refused to respond) - P(getting someone in the 22-29 age bracket and refused to respond)

                                    = 273/352 + (35+29)/352 - 29/352

                                    = 308/352

                                    = 0.875 (ans)

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