The questions are which are the null and alternative hypothesis? statistic test, p value, reject or fail to reject null hypothesis and why, confidence interval, and conclusion. Thanks

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 President 177 186 166 180 202 165 Height (cm) of Main Opponent 164 182 173 180 196 178 a. Use the sample data with a 0.01 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, p. 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? Ho Hd cm H1 Hd cm (Type integers or decimals, Do not found.)