Save 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 194 180 173 179 193 174 Height (cm) of Main Opponent 177 181 167 176 193 185 alternative hypotheses for the hypothesis test? Ho Md= Hd> 0 cm 0 cm (Type integers or decimals. Do not round.) Identify the test statistic. t=0.62 (Round to two decimal places as needed.) Identify the P-value. P-value 0.281 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, fail to reject the null hypothesis. There is not 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)? The confidence interval is cm