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 Height (cm) of Main Opponent 169 174 174 168 193 181 182 173 173 191 201 167 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, Hg is the mean value of the differences d for the population of all pairs of data, where each individual differenced is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? Hg: Ha cm H: Ha (Type integers or decimals. Do not round.) cm

A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights of randomly selected presidents along with the heights of their main opponents. Using a 0.01 significance level, test the claim that the population of heights for presidents and their main opponents, the differences have a mean greater than 0.  Height (cm) of President 184 181 174 186 183 170 Height (cm) of Opponent 169 178 175 168 187 182 Determine the test statistic.Round your answer to 2 decimal places.

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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 Height (cm) of Main Opponent 178 181 171 167 183 177 184 170 178 174 203 166 9 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, Ha 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? Họ: Ha cm H1: Hd cm (Type integers or decimals. Do not round.)