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Identify the test statistic, p-value, confidence interval A popular theory is that presidential candidates have an advantage if they are taller than their main opponents.

Identify the test statistic, p-value, confidence interval

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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 187 173 176 178 186 181 0 Height (cm) of Main Opponent 174 180 182 172 179 184 presidents and their main opponents, the differences have a mean greater than U cm. In this example, u 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: Ha = 0 cm H1: Hd > 0 cm (Type integers or decimals. Do not round.) Identify the test statistic t = (Round to two decimal places as needed.)

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