3. Consider a study performed by a bicycle firm to investigate the effectiveness of a new bicycle pedal in reducing the number of falls from the bicycle among children. A total of n = 10 children are randomized to ride a bicycle with existing (n1 = 5) or new (n2 = 5) pedals installed. Participants are asked to record the number of falls from the bicycle over a 1 week period following receipt of the bicycle. The data are shown below. Existing Pedal 7 12 New Pedal 3 2 Perform an appropriate nonparametric statistical test by hand based on the exact method to determine whether the new pedal is effective at reducing the number of falls from the bicycle among children. Report all relevant components of the test, including hypotheses and the conclusion. Note that a mean rank should be used for tied data points