Height cm of President 194 182 177 184 192 179 Height cm of Main Opponent 186 185 172 170 179 187 Points 0 of 1 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 Save Ho Hd 0 cm H Hd 0 cm Type integers or decimals Do not round a Use the sample data with a 0 05 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 Hd 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