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Thinking and Deciding

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188 JUDGMENT OF CORRELATION AND CONTINGENCY<br />

disease, subjects attend most consistently to the present/present cell (see, for example,<br />

Arkes <strong>and</strong> Harkness, 1983; Schustack <strong>and</strong> Sternberg, 1981; Shaklee <strong>and</strong><br />

Mims, 1982; Shaklee <strong>and</strong> Tucker, 1980). Many subjects, however, behave like the<br />

“more sophisticated laypeople” described by Nisbett <strong>and</strong> Ross, paying attention to<br />

the present/absent cell (that is, symptom present <strong>and</strong> disease absent) as well as the<br />

present/present cell. In essence, when these subjects want to know whether the symptom<br />

(S) predicts the disease (D), they pay attention most often to the probability of<br />

D given S, that is, p(D|S), but they neglect p(D| ∼S). Other subjects compare<br />

the present/present cell to the absent/present cell. In essence, these subjects attend to<br />

p(S|D) <strong>and</strong> neglect p(S|∼D), the probability that subjects would have the symptom<br />

even without the disease.<br />

A consequence of the lack of attention to the “symptom absent” or to the “disease<br />

absent” part of the table is that people who have the chance do not inquire about<br />

the half of the table to which they do not attend. For example, Beyth-Marom <strong>and</strong><br />

Fischhoff (1983), following Doherty, Mynatt, Tweney, <strong>and</strong> Schiavo, 1979) asked<br />

subjects to determine whether “Mr. Maxwell,” a fictitious person whom, they were<br />

to imagine, they had just met at a party, was a professor. The subjects were told that<br />

Mr. Maxwell was either a professor or an executive <strong>and</strong> that he was a member of the<br />

Bear’s Club. The subjects were asked which of several additional pieces of information<br />

they would want to have in order to determine his profession. They were asked,<br />

for example, whether they would rather know “what percentage of the professors at<br />

the party are members of the Bear’s Club” or “what percentage of the executives at<br />

the party are members of the Bear’s Club.” Although 89% of the subjects thought the<br />

first item was relevant (because it came from the “disease present” part of the table<br />

— the “disease” in question being “professor”), only 54% thought that the second<br />

item was (because it came from the “disease absent” part of the table). In fact, both<br />

pieces are relevant (as is the percentage of professors at the party).<br />

In a similar study, Doherty <strong>and</strong> Falgout (1986) gave subjects an opportunity to<br />

keep or throw away various pieces of data in making an inference about whether<br />

cloud seeding causes rain. Subjects varied greatly in their choice of data, but the<br />

dominant pattern was to keep data only from the present/present <strong>and</strong> present/absent<br />

cells, that is, those cells in which cloud seeding was done (<strong>and</strong> rain occurred or did<br />

not occur).<br />

Kuhn, Phelps, <strong>and</strong> Walters (1985) asked children <strong>and</strong> adults to judge whether a<br />

fictional product called EngineHelp makes cars run well. The experimenter told the<br />

subjects, “Six people I talked to said they use EngineHelp <strong>and</strong> they all said their cars<br />

run well.” A majority of the children, <strong>and</strong> one-third of the adults, concluded from<br />

this single cell that EngineHelp did help. Most of the others said, correctly, that there<br />

was not enough information. Then subjects were told, “Two other people I talked to<br />

said that they use EngineHelp <strong>and</strong> that their cars run poorly.” The responses were<br />

about the same as after the first cell, even though subjects still knew nothing about<br />

the absent/absent <strong>and</strong> absent/present cells.<br />

Attentional bias can be understood as failure to look for evidence against an initial<br />

possibility, or as failure to consider alternative possibilities. If there are many

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