Q5. - Algebra 1

Question

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

 

Sample: 21,700 6^th – to 12^th – grade students surveyed by USA Weekend, youthnoise.com, and a volunteer organisation called Key Club.

Question: Are youth interested in volunteering?

Conclusion: Youth are interested in volunteering.

How many hours a year do you volunteer?

Number of Hours	Percent (%)
Fewer than 20 hours	30
20 to 39 hours	35
40 to 59 hours	13
60 to 80 hours	7
More than 80 hours	15

Step-by-Step Solution

Answer

The question asked to the student that is on the given table is biased and the conclusion is invalid.

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 .

Since, the students are obliged to answer how many hours they volunteer per year which in turns gives the impression that all of them are interested in volunteering so the question asked to the student that is on the given table is biased. Hence, the conclusion is invalid.

Hence,

The question asked to the student that is on the given table is biased and the conclusion is invalid.