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 180 185 169 184 201 164 Height (cm) of Main Opponent 162 181 179 173 181 183 Identify the P-value P-value (Round to three deomal places as needed.) D What is the conclusion based on the hypothesis test? Since the Palos is the significance level. the null hypothosis. There sufficient evidence to support the claim that presidents tend to be taller than their opponents b. Construct the confidence inforval that could be used for the hypothesis test described in part (a) What feature of the confidence interval leads to the same conclusion reached in part 007 The confidence interval is amp cm (Round to one decimal place as needed) What feature of the confidence interval leads to the same conclusion reached in part (a) Since the confidence interval contains hanul hypothesis