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 se presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President Height (cm) of Main Opponent 179 183 181 179 193 177 184 169 183 190 193 171 9 no. Pd - U CII H1: Hd (Type integers or decimals. Do not round.) 0 cm Identify the test statistic. t= -0.09 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.535 (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 - 8.8 cm < Ha < 9.4 cm. (Round to one decimal place as needed.)

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