Solution to A statistics student who is curious about the relationship between the amount of time students … - Sikademy

July 24, 2021

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Archangel Macsika

A statistics student who is curious about the relationship between the amount of time students spend on social networking sites and their performance at school decides to conduct a survey. Various research strategies for collecting data are described below. In each, name the sampling method proposed and any bias you might expect.

Solution

a) He randomly samples 40 students from the study’s population, gives them the survey, asks them to fill it out and bring it back the next day

Simple random sample. Non-response bias, if only those people who have strong opinions about the survey responds his sample may not be representative of the population

b) He gives out the survey only to his friends, making sure each one of them fills out the survey

Convenience sample. Under coverage bias, his sample may not be representative of the population since it consists only of his friends. It is also possible that the study will have non-response bias if some choose to not bring back the survey

c) He posts a link to an online survey on Facebook and asks his friends to fill out the survey

Convenience sample. This will have similar issues to handing out surveys to friends

d) He randomly samples 5 classes and asks a random sample of students from those classes to fill out the survey

Multi-stage sampling. If the classes are similar to each other with respect to student composition this approach should not introduce bias, other than potential non-response bias

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