Q3. - Algebra 1

Question

Give each survey report, evaluate the validity of the information and conclusion.

 

A radio station is considering changing its format. It mails 1000 surveys to randomly selected houses within their listening area. They receive 750 responses.

Question: What type of radio station do you like?

Conclusion: The radio station should have a format of rap/hip-hop. 

Results

Choice	Response
Talk/sports	26%
Classic rock	32%
Rap/hip-hop	39%
Country	3%

Step-by-Step Solution

Answer

The data is not biased and the conclusion is valid.

Step 1. State the concept for sampling.

A sample is the specific group that you will collect data from. The size of the sample is always less than the total size of the population. 

Sampling is the process ir method of selecting samples from a population based on some rules or criteria. The sampling method depends on the type of analysis that is going to be done on the population. It may be simple random sampling or systematic sampling or stratified sampling.

Step 2. State the concept for biased and unbiased sample.

Biased smaple means the sample is not representive of the populaiton, which means the method for getting the sample is defective.

 

Unbiased sample means the sample is representive of the population.

Step 3. State the answer with an explanation .

From the given data it can be observed that the sample is large enough, reputable and is not biased since they are listeners who are chosen randomly.

Since, the highest percentage of responses is for rap/hip-hop so the data also support the conclusion. Hence, the conclusion is valid.

Hence,

The data is not biased and the conclusion is valid.As the sample is biased, it cannot be classified as simple, stratified or systemic.