Part 5 of 6 Points: 0.69 of 1 Save A popular theory is that presidential candidates...

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Part 5 of 6 Points: 0.69 of 1 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 180 172 171 179 203 166 Height (cm) of Main Opponent 167 181 180 169 194 178 Identify the test statistic. t=0.07 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.473 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? 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 Since the P-value is 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 Part 5 of 6 Points: 0.69 of 1 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 180 172 171 179 203 166 Height (cm) of Main Opponent 167 181 180 169 194 178 Identify the test statistic. t=0.07 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.473 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? 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 Since the P-value is 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