3. [6 pts] For each of the following scenarios, state the type of sampling bias

Question

3. [6 pts] For each of the following scenarios, state the type of sampling bias that could have occurred and explain why People claim that only 3% of the students who take STAT 216 at Montana State University will continue their education in statistics. The Mathematical Sciences Department believes that this value is too low and decides to take a sample of 60 students out of the 800 students registered that semester. Of the 60 students, 25 (or 41.6%) say they will continue to study more statistics. It turns out that the 60 students selected for this study were those that received the highest scores on the first test. What type of sampling bias could have occurred if the results of this study is applied to all students who take STAT 216 Select one a. A. Selection bias B. Non-response bias C. Response bias Explain Why b. A police detective, interested in determining the extent of drug use by high school students, randomly picks a sample of high school students and interviews each one about any illegal drug use by the student during the past year. What type of sampling bias could occur? Select one A. Selection bias B. Non-response bias C. Response bias Explain Why The Wall Street Journal plans to make a prediction for the US presidential election based on a survey of a random sample of its readers, and plans to follow-up to ensure everyone responds. What type of sampling bias could occur? (Hint: There are two possible bias that could occur) c. A. Selection bias B. Non-response bias C. Response bias Explain why using only one of the bias you selected above

Explanation / Answer

Part (a)

Selection Bias Option A ANSWER

All selected students were those who scored high in the test indicating that they were keen on the subject. Hence, the sample is highly skewed and biased towards a favourable response.

Part (b)

Non- response Bias Option B ANSWER

The word illegal drug use would act as an inhibitor and as such the students are unlikely to open up.

Part (c)

Both Selection Bias and Response Bias Options A and C ANSWER

Former because the selection is restricted to Wall Street Journal which is invariably a specific group.

Latter because the rigorous follow up is likely put undue pressure on the respondents which in turn is likely to result in hasty or insincere and dishonest response.

DONE

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