Question

pollsters are concerned about declining levels of cooperation among persons contacted in surveys. a pollster contacts 95 people in the 18 - 21 age bracket and finds that 81 of them respond and 14 refuse to respond. when 291 people in the 22 - 29 age bracket are contacted, 261 respond and 30 refuse to respond. assume that 1 of the 386 people is randomly selected. find the probability of getting someone in the 22 - 29 age bracket or someone who does not respond.
report the answer as a percent rounded to one decimal place accuracy. you need not enter the “%” symbol.
p(22 - 29 or does not respond) =
(hint: it might be helpful to organize the data into a table first.)

Explanation:

Step1: Define total people

Total = 95 + 291 = 386

Step2: Define events A (22-29) and B (no response)

n(A) = 291, n(B) = 14 + 30 = 44, n(A∩B)=30

Step3: Apply addition rule

P(A or B) = (291 + 44 - 30)/386 = 305/386 ≈ 0.79015

Step4: Convert to percentage and round

0.79015×100 ≈ 79.0

Answer:

79.0