Math

QuestionWhat type of sampling occurs when all Pellissippi students are emailed and only responders are counted? a) Cluster b) Stratified c) Convenience d) Voluntary e) Systematic

Studdy Solution

STEP 1

Assumptions1. An email is sent to all Pellissippi students. . The responses of whoever chooses to respond are used.
3. The type of sampling used should be identified from the given options Cluster, Stratified, Convenience, Voluntary, Systematic.

STEP 2

We need to understand the definitions of the different types of sampling.
a) Cluster sampling This is when the entire population is divided into groups, or clusters, and a random sample of these clusters are selected. All observations from the selected clusters are included in the sample.
b) Stratified sampling This is when the population is divided into groups, or strata, based on some characteristic. Then, a random sample is taken from each stratum.
c) Convenience sampling This is when the sample is taken from a group of people easy to contact or to reach. For example, standing at a street corner and interviewing the first10 people who pass by.
d) Voluntary sampling This is when the sample is made up of people who self-select into the survey. The individuals choose themselves by responding to a general appeal.
e) Systematic sampling This is when every nth individual is selected from the total population.

STEP 3

Now, we need to match the given situation with the correct type of sampling. In this case, an email is sent to all Pellissippi students and the responses of whoever chooses to respond are used. This is a case where individuals choose themselves by responding to a general appeal.

STEP 4

Therefore, the type of sampling used in this case is voluntary sampling.
The answer is (d) Voluntary.

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