Question

You would like to start a club for psychology majors on campus, and you are interested to find out what proportion of psychology majors would join. The dues would be $35 and used to pay for speakers to come to campus. You ask five psychology majors from your senior psychology honors seminar whether they would be interested in joining this club and find that four of the five students questioned are interested. Is this sampling method biased, and if so, what is the likely direction of bias

Answer 1

From the sample used to find out what psychology majors would join the club and if it is biased, we can say that;

- Yes, the sampling method is biased.

- The likely direction of the bias is because you only asked 5 people which

is  not a significant percentage of those offering psychology majors and as

such the 4 out of 5 gotten is likely going to be an over estimation of those

who are willing to pay to join this club.

We are told that;

• You want to start a club.

• This club is for psychology majors.

• You want to find the proportion of those in the psychology majors that will join this club you want to organize.

• Now, out of all the students offering psychology majors, you only asked 5 of them if they will be interested. Since 4 out of the 5 are interested and you want to use that to form a basis of the proportion of those interested , it would lead to sampling bias since the population is not adequately represented.

Therefore, this would lead to sampling bias and thus the sample is biased.

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