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 162 183 165 168 182 179 183 182 175 175 187 181 D (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is the significance level, V the null hypothesis. There sufficient evidence to support the claim that presidents tend to be taller than their opponents. b. Construct the confidence interval 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 (a)? | cm < µa <] cm. (Round to one decimal place as needed.) The confidence interval is What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains v the null hypothesis.