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The table below summarizes results from a study of people who refused to answer

ID: 3360176 • Letter: T

Question

The table below summarizes results from a study of people who refused to answer survey questions. If one of the subjects is randomly selected, what is the probability that the selected person refused to answer? Does the probability value suggest that refusals are a problem for pollsters?

                                                                 Age  

responded

The probability that a randomly selected person refused to answer is ----

Does the probability value suggest that refusals are a problem for pollsters?

No, the refusal rate is below 10%. This ensures that a suitable number of people were sampled.

Yes, the refusal rate is above 10%. This may suggest that the sample may not be representative of the population.

No, the refusal rate is below 10%. The sample will likely be representative of the population.

Yes, the refusal rate is above 10%. This results in a sample size that is too small to be useful.

18-21 22-29 30-39 40-49 50-59 60 and over

responded

79 261 251 142 144 208 Refussed 15 24 37 30 39 61

Explanation / Answer

from above table

probability that a randomly selected person refused to answer is =206/1291 =0.1596

here probability is greater then 10% ; to answer objective question ; we need prior information of population refusal rate,

if it is less then 10% then correct option is:

Yes, the refusal rate is above 10%. This may suggest that the sample may not be representative of the population.

18-21 22-29 30-39 40-49 50-59 60 and over total responded 79 261 251 142 144 208 1085 Refussed 15 24 37 30 39 61 206 total 94 285 288 172 183 269 1291
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