Question
One hundred park-district members will be selected to participate in a survey about selecting a new park-district coordinator. Which of the following methods of choosing the 100 members would result in a random sample of members of the park district?
- Obtain a numbered list of all park-district members. Use a random number generator to select 100 members from the list. Give the survey to those 100 members.
- Obtain a list of all park-district members sorted alphabetically. Give the survey to the first 100 members on the list.
- Tell all park-district members that volunteers are needed to take the survey. Give the survey to the first 100 members who volunteer.
- Obtain a list of all park-district members who are attending an upcoming event. Give the survey to the first 100 members on the list.
Hint:
Hint:
A sample is called a random sample if every sample has an equal probability of being chosen. Or we can say that the sample will be random if the choice is unbiased, that is, independent of anyone's prejudice or favour.
The correct answer is: Obtain a numbered list of all park-district members. Use a random number generator to select 100 members from the list. Give the survey to those 100 members.
Step by step solution:
We check all the options:
Option B:
If the survey is given to the first 100 members on an alphabetical list then the survey will go to people with names starting with A,B,C,D, etc but this list is not random as there is preference given to people with certain names.
Option C
If the survey is given to volunteers then there is a chance that people with like-minded thoughts may wish to volunteer for the survey but then there is prejudice and favor working in the sample
Option D)
If the list of all park district members who are attending the upcoming event is given in the survey then the sample cannot be considered random as it is giving importance to certain individuals
Option A: A random number generator is used to select the 100 members. This method gives a random sample.
Thus, the correct option is A)
Note:
The method given is option A is called simple random sampling. Some other methods of random sampling are stratified random sampling, cluster random sampling and systematic random sampling.
Infact, there is further categorisation of simple random sampling- probability and non-probability sampling.
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