When collecting the data, you choose a Saturday
morning and send a person to each of the five stores in the city.
You have them use a die to choose the people to interview by
rolling the die each time a person leaves the store and only
interviewing a person if the roll is a 1. Will this method
produce a random sample that is representative of the
population?
For the time being let us assume that the enumerator visited the store and tossing a die to decide whether to include the person or not. Here each customer who is leaving the store has a 1 in 6 chances of being interviewed further. This process will generate a random sample since each individual has a probability to getting involved.
The only catch here is the day ie Saturday. It is not known why a Saturday is choosen. This might pose a big issue if a proper reasoning is not given. Since choosing only a Saturday gets into a judgemental issue and this could make the sample as judement sample. It could be possible that on Saturday, there may be very few customers or many customers.
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