Recall a study from Exercise 5.2.15 , called Power Posing: Brief Nonverbal Displays Aff ect Neuroendocrine Levels and Risk Tolerance, that was published in Psychological

Recall a study from Exercise 5.2.15 , called €œPower Posing: Brief Nonverbal Displays Aff ect Neuroendocrine Levels and Risk Tolerance,€ that was published in Psychological Science, September 2010, and describes an experiment involving 42 participants (male and female), where 20 participants were randomly assigned to hold low-power poses (contractive positions, closed limbs) and 22 to hold high-power poses (expansive positions, open limbs) for two minutes. All participants were told that the aim of this exercise was to see if their heart rate changed. Aft er the exercise, each participant was given $2 and told that they could keep the money or roll a die for a double or nothing. Here are the data:

Is it valid to use the theory-based approach to examine whether the proportion of risk takers was significantly higher in the high-power pose compared to the low-power pose? Explain your reasoning.

Low-power High-power pose Total pose Yes 3 21 Took the "double 18 or nothing" bet? 21 17 4 No Total 42 20 22