Ann Landers, who wrote a popular daily newspaper advice column, once asked her r

Question

Ann Landers, who wrote a popular daily newspaper advice column, once asked her readers "If you had it to do over again, would you have children?" Of the more than 10,000 readers who responded, 70% said no. What does this show? A. The survey is meaningless because of voluntary response bias. B. No meaningful conclusion is possible without knowing something more about the characteristics of her readers. C. The survey would have been more meaningful if she had picked a random sample of the 10,000 readers who responded. D. The survey would have been more meaningful if she had used a control group. E. This was a legitimate sample, randomly drawn from her readers and of sufficient size to allow the conclusion that most of her readers who are parents would have second thoughts about having children. Every NBA basketball team has 12 players. A sample of players is to be chosen as follows. Each team will be asked to place all 12 players' names into a hat and randomly draw 2 names. The 2 names from each team will be combined to make up the sample. Will this method result in a simple random sample of basketball players? A. Yes, because each player has the same chance of being selected. B. Yes, because each team is equally represented. C. Yes, because this is an example of stratified sampling, which is a special case of simple random sampling. D. No, because the teams are not chosen randomly. E. No, because not every possible combination of players has the same chance of being selected.

Explanation / Answer

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ANSWER:

A. The survey is meaningful beacuse of voluntary response bias.

Explanation: Voluntary response bias is powerful - it means only people with strong opinions about the topic will respond. It will always give meaningless information for that reason, no matter what the "chracteristics of her readers" include.

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E) No, beacuse not every possible combination of players has the same chance of being selected.

Explanation:

A SRS refers ONLY to when the entire sampling frame (part of population you are sampling from) is numbered off or has their names put in a hat and you randomly choose from ALL the possible people. Its a very large and costly process usually. The technical “definition” of a SRS is that every possible sample of size n has the same probability of being chosen. In this case, it would not be possible for, say, all of the Dallas Mavericks to be chosen.

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