The type of sampling is the cable company using is convenience sampling.
We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population.
We are given that;
The cable company is using convenience sampling.
Convenience sampling involves selecting individuals who are convenient or readily available to participate in the study. In this case, the cable company is selecting individuals who call their customer service and happen to complete their call with a customer service representative. The individuals are not selected based on any specific criteria or randomly selected, but rather because they happen to call the cable company and complete a customer service call.
As the message specifically invites customers to stay on the line to answer the survey questions, it can also be considered a form of voluntary sampling, where individuals are invited to participate in a study and can choose whether or not to participate.
Therefore, by sampling the answer will be convenience sampling.
Learn more about sampling here:
Voluntary sampling involves someone opting to be a part of the sample. In this situation, customers are given the option to stay on the line to answer a survey; this means it is on a voluntary basis. Thus it is a voluntary sample.