Question

determine whether the statement makes sense or does not make sense, and explain your reasoning.
a public radio station needs to survey its contributors to determine their programming interests, so they should select a random sample of 100 of their largest contributors.
choose the correct answer below
a. this makes sense because the random sample is 100
b. this does not make sense because the random sample must be larger than 100
c. this makes sense because the contributors will lead to responses positively biased towards the station programs
d. this does not make sense because the sample must include all the contributors, not only the largest contributors

Explanation:

To survey contributors' programming interests, the sample should represent all contributors. Selecting only the largest contributors is a biased sample. A random sample of 100 largest contributors excludes other contributors, so it won't give a true picture of all contributors' interests.

Answer:

D. This does not make sense because the sample must include all the contributors, not only the largest contributors.