14. \"Guilt and focusing on decision making\" (Gangemi & Mancini, Journal of Beh

Question

14. "Guilt and focusing on decision making" (Gangemi & Mancini, Journal of Behavioral Decision Making, Vol 20, Jan 2007) reported on 171 volunteer students participating in an experiment where each was randomly assigned to one of three feel guilty, one group was made to feel angry, and the third group was not influenced. Immediately after reaching these emotional states, the students were asked to decide whether or not to spend lots of money to repair a very old car (not a "historic"/antique). The "stated" option was "spend the money to repair the car". The following raw data was recorded: groups. One group was made to Emotional State Choose stated option C Don't choose stated option C Guilt Anger Neutral Totals Totals 57 58 56 45 12 50 49 60 (Report your answers as fractions or as decimal values rounded to the nearest hundredth.) Find the probability that a randomly-selected student: (a) is in the "guilt” emotional state Answer: (b) chooses the stated option, given that the student is in the "guilt" state Answer: (c) chooses the stated option and is in the "guilt" state? Answer:

Explanation / Answer

a. P(guilt) = Total guilt / Total = 57 / 171 = 1/3 = 0.3333

b. P(stated option | guilt ) = N( Stated option and guilt ) / Total Guilt = 45 / 57 = 15/19 = 0.7895

c. P(stated option and guilt) = N( Stated option and guilt ) / Total = 45 / 171 = 5/19 = 0.2632

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