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A clinic treated 300 patients for a skin complaint and asked each of them to return after six weeks. Forty came back, and 36 of those said the complaint had cleared. The clinic reported that the treatment had worked in nine cases out of ten. Which of the following best explains why the 40 cannot support a claim about all 300?

Competition practiceLogical / Critical
  • AForty is too small a number for any conclusion whatever to be drawn from it
  • BThe clinic should have asked its patients to return after eight weeks rather than after six
  • CWho came back was settled by the patients themselves, and a patient's reason for returning — or for not troubling to return — is likely to be bound up with whether the complaint cleared, so the 40 need not resemble the 300
  • DThe clinic did not record the age of each patient it treated

Step-by-Step Solution

The 260 who stayed away were not a random 260: whether a patient bothers to come back turns on how he has fared, so the group that reported is shaped by the very thing being measured. A figure drawn from a group selected in that way cannot be carried over to the whole. Forty would be perfectly usable had it been chosen at random, the follow-up interval and the patients' ages are side issues.
Answer: C) Who came back was settled by the patients themselves, and a patient's reason for returning — or for not troubling to return — is likely to be bound up with whether the complaint cleared, so the 40 need not resemble the 300

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