An article titled "Giving the Finger to Dating Services" appeared in Chance magazine (2008) that investigated the association between length of index finger and height. This research was spurred by a report that online dating sites were asking members for the length of their index fngers. Perhaps this inforation could be used to verify whether the member was reporting his or her correct height on the profile? The data file HeightAndFingerLength contains data on height (inches) and the length of index finger of dominant hand (cm) for students in a statistics class. (You can use the links at the top of the quiz.) a) State in words the appropriate null and alternative hypotheses to test whether there is an association between height and length of index finger. b) Describe how one might use everyday items (for example, coins, dice, cards, etc.) to conduct a tactile simulation-based test of the hypotheses. Be sure to clearly describe how the p-value will be computed from the simulation. c) The correlation coefficient for the sample data is 0.474. A simulated null distribution is shown to test the null hypothesis of no association between height and length of index finger