Reconsider the data from the study investigating whether people who hold high-power poses are more likely to take risks (such as the double or nothing bet) compared to those who hold low-power poses. For this exercise, use the difference in the conditional proportion of bet takers between those who held low-power poses and those who held high-power poses as the statistic.
a. Define (in words) the parameters of interest of this study. Also, assign symbols to the parameters.
b. State the null and alternative hypotheses in words.
c. State the null and alternative hypotheses in symbols.
d. Give detailed, step-by-step instructions on how one could conduct a tactile simulation to generate a p-value to test the hypotheses stated in parts (b) and (c). Be sure to include details on the following:
• Would the simulation involve coins, dice, or index cards?
• How many tosses, rolls, or cards would be used?
• How many sets of tosses, rolls, or shuffles would you observe?
• What would you record aft er every repetition?
• How would you compute the p-value?