Question

Mr. Stratford is the president of a national organization of lesbian, bisexual, gay, and transgender people in the United States. He wants to survey 1,000 members of his organization about the position they want the organization to take on several political issues. He knows that transgender people make up only 5 percent of his organization, but he wants to make sure that their views are accurately represented. He decides that he will randomly sample 100 transgender members and then adjust the final results so that transgender people are weighted to their actual proportion in the organization. Is Mr. Stratford collecting a representative sample?
1. No, because straight people are not included in the sample.2. Yes, because the transgender people in the final sample were sampled randomly from the population of transgender people in the organization.3. No, because the transgender people are over-represented in the final sample.4. Yes, because 1,000 people is enough to make a representative sample.

Answer 1

Answer:

2. Yes, because the transgender people in the final sample were sampled randomly from the population of transgender people in the organization.

Explanation:

Representative sample:

A representative sample is a group that closely matches the characteristics of its population as a whole.

There are some occasions where it is necessary to collect data from each member of the population because the opinion of greater number of people is more important and accurate than a single one. But we cannot survey the whole organization. So what Mr. Stratford did is that he took a sample to accurately obtain the views of transgender members and then mapped the results to the actual proportion of transgenders in the organization.

A representative sample allows the collected information to be abstracted to a greater population. A representative sample is a small number of people that reflect, as accurately as possible, a larger group. Hence, what Mr.Stratford is collecting is a representative sample.