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 76 people in the 18-21 age bracket and finds that 65 of them respond and 11 refuse to respond. When 297 people in the 22-29 age bracket are contacted, 278 respond and 19 refuse to respond. Assume that 1 of the 373 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond. Report the answer as a percent rounded to one decimal place accuracy.You need not enter the "9% symbol prob Points possible: 1 This is attempt 1 of 2 Submit search 6 9

Explanation / Answer

Ans:

Given that

P(22-29)=297/373

P(respond)=(65+278)/373=343/373

P(22-29 and respond)=278/373

P(22-29 or respond)=(297/373)+(343/373)-(278/373)

=(297+343-278)/373

=362/373=0.971 or 97.1%

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