Question

a radio station asks its listeners to call in their opinion regarding the closing of fire stations in the city. identify the sampling method used, and explain why this sample could be biased.

Explanation:

1. Sampling Method Identification: The radio station is using a voluntary response sampling method. In voluntary response sampling, individuals self - select to be part of the sample (in this case, listeners choose to call in their opinion).
2. Bias Explanation: This sample is biased because only those listeners who are highly motivated or have strong opinions about the closing of fire stations are likely to call in. People with mild or no strong feelings about the issue may not participate. Also, the sample is limited to the radio station's listeners, which may not represent the entire city's population (for example, people who don't listen to that radio station, or don't have access to a phone to call in, are excluded).

Answer:

• Sampling Method: Voluntary response sampling.
• Bias Explanation: Only highly motivated/strong - opinioned listeners (who choose to call) are sampled; non - listeners, unmotivated people, or those without calling access are excluded, so the sample doesn't represent the entire city population.