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 170 184 174 166 194 182 185 170 179 191 194 179 D Identify the test statistic. t= 0.57 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.286 (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 < Ha < cm (Round to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains V the null hypothesis.
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 170 184 174 166 194 182 185 170 179 191 194 179 D Identify the test statistic. t= 0.57 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.286 (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 < Ha < cm (Round to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains V the null hypothesis.
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Transcribed Image Text: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
185 170 179 191 194 179 9
Height (cm) of Main Opponent 170 184 174 166 194 182
Identify the test statistic.
t= 0.57 (Round to two decimal places as needed.)
Identify the P-value
P-value = 0.286 (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 < Ha <
cm.
(Round to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains
V the null hypothesis.
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