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 180 182 181 183 192 178 Height (cm) of Main Opponent 165 179 173 177 190 169 (Type integers or decimals. Do not round.) Identify the test statistic. t=3.73 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.007 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is less than or equal to the significance level, reject the null hypothesis. There is 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)?