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 contributors will lead to responses positively biased towards the station programs. ○ b. this does not make sense because the random sample must be larger than 100. ○ c. this makes sense because the random sample is 100. ○ d. this does not make sense because the sample must include all the contributors, not only the largest contributors.

Explanation:

A survey about programming interests should represent all contributors. Sampling only the largest contributors (a specific subset) ignores other contributors' interests. A valid sample for determining programming interests of all contributors must include a diverse group, not just one segment (the largest contributors).

Answer:

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