A popular theory is that presidential candidates have an advantage they are heights of their main opponents Complete parts (a) and (b) below Height (cm) of President 193 174 101 176 189 175 Height (cm) of Main Opponent 167 176 168 174 185 186 opponents. Listed 1₂0mm H₂:40cm (Type integers or decimals. Do not round) Identify the test statistic 1-(Round to two decimal places as needed.) selected presidents CID & 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, 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 atemative hypotheses for the hypothesis test?

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