A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in cen
A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm )of PresidentHeight (cm) of President 177177 170170 173173 182182 202202 174174 Height (cm )of Main OpponentHeight (cm) of Main Opponent 167167 171171 165165 182182 191191 179179 a. Use the sample data with a 0.010.01 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, mu Subscript dμd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president’s height minus their main opponent’s height. What are the null and alternative hypotheses for the hypothesis test?