Opinion-polling organizations sometimes contact their respondents by sampling random telephone numbers.Assume that interviewers can now reach about 78% of Canadian households,while the percentage of those contacted who agree to cooperate with the survey is 36%.Each household,of course,is independent of the others.What is the probability of obtaining an interview with the next household on the sample list?
A)0.281
B)0.079
C)0.780
D)0.499
E)0.141

Question

Quizplus · Accepted Answer

The probability of obtaining an interview is the product of the probability of reaching a household (78% or 0.78) and the probability of cooperation (36% or 0.36). Thus, 0.78 * 0.36 = 0.2808, which rounds to 0.281.

Opinion-Polling Organizations Sometimes Contact Their Respondents by Sampling Random Telephone